{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "from bnn.data import category_examples\n",
    "from bnn.util import open_pickle_file\n",
    "from bnn.predict import predict_on_data\n",
    "\n",
    "from ggplot import *\n",
    "from keras import backend as K\n",
    "from keras.datasets import cifar10\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import cv2\n",
    "import pandas as pd\n",
    "import math\n",
    "from tensorflow.contrib import distributions\n",
    "from scipy.misc import logsumexp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Bayesian categorical cross entropy.\n",
    "# N data points, C classes, T monte carlo simulations\n",
    "# true - true values. Shape: (N, C)\n",
    "# pred_var - predicted logit values and variance. Shape: (N, C + 1)\n",
    "# returns - loss (N,)\n",
    "def bayesian_categorical_crossentropy(T, num_classes):\n",
    "  def bayesian_categorical_crossentropy_internal(true, pred_var):\n",
    "    # shape: (N,1)\n",
    "    std = K.sqrt(pred_var[:, num_classes:])\n",
    "    # shape: (N,)\n",
    "    variance = pred_var[:, num_classes]\n",
    "    variance_depressor = K.exp(variance) - K.ones_like(variance)\n",
    "    # shape: (N, C)\n",
    "    pred = pred_var[:, 0:num_classes]\n",
    "    # shape: (N,)\n",
    "    undistorted_loss = K.categorical_crossentropy(pred, true, from_logits=True)\n",
    "    # shape: (T,)\n",
    "    iterable = K.variable(np.ones(T))\n",
    "    dist = distributions.Normal(loc=K.zeros_like(std), scale=std)\n",
    "    monte_carlo_results = K.map_fn(gaussian_categorical_crossentropy(true, pred, dist, undistorted_loss, num_classes), iterable, name='monte_carlo_results')\n",
    "    \n",
    "    variance_loss = K.mean(monte_carlo_results, axis=0) * undistorted_loss\n",
    "    \n",
    "    return variance_loss + undistorted_loss + variance_depressor\n",
    "  \n",
    "  return bayesian_categorical_crossentropy_internal\n",
    "\n",
    "# for a single monte carlo simulation, \n",
    "#   calculate categorical_crossentropy of \n",
    "#   predicted logit values plus gaussian \n",
    "#   noise vs true values.\n",
    "# true - true values. Shape: (N, C)\n",
    "# pred - predicted logit values. Shape: (N, C)\n",
    "# dist - normal distribution to sample from. Shape: (N, C)\n",
    "# undistorted_loss - the crossentropy loss without variance distortion. Shape: (N,)\n",
    "# num_classes - the number of classes. C\n",
    "# returns - total differences for all classes (N,)\n",
    "def gaussian_categorical_crossentropy(true, pred, dist, undistorted_loss, num_classes):\n",
    "  def map_fn(i):\n",
    "    std_samples = K.transpose(dist.sample(num_classes))\n",
    "    distorted_loss = K.categorical_crossentropy(pred + std_samples, true, from_logits=True)\n",
    "    diff = undistorted_loss - distorted_loss\n",
    "    return -K.elu(diff)\n",
    "  return map_fn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def loss_matrix(min_x=-4, max_x=4, min_y=0, max_y=100):\n",
    "  loss_fn = bayesian_categorical_crossentropy(10000, 2)\n",
    "\n",
    "  correct_val = 1.0\n",
    "\n",
    "  X = [1.0 + x/2 for x in range(min_x, max_x+1)]\n",
    "  Y = [0.000000001 + y/50 for y in range(min_y, max_y+1)]\n",
    "  X, Y = np.meshgrid(X, Y)\n",
    "  predictions = []\n",
    "\n",
    "  for i in range(len(X)):\n",
    "    for j in range(len(X[0])):\n",
    "      y = Y[i][j]\n",
    "      x = X[i][j]\n",
    "      predictions.append([correct_val, x, y])\n",
    "\n",
    "  pred_count = len(predictions)\n",
    "  true = K.variable(np.hstack((np.ones((pred_count, 1)), np.zeros((pred_count, 1)))))\n",
    "  pred_var = K.variable(np.array(predictions))\n",
    "  Z = K.eval(loss_fn(true, pred_var))\n",
    "  Z = np.reshape(Z, (len(X), len(X[0])))\n",
    "  return (X, Y, Z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "X, Y, Z = loss_matrix(min_x=-20, max_x=20, max_y=150)\n",
    "# X, Y, Z = loss_matrix(min_x=100, max_x=110, min_y=0, max_y=400)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeQAAAFKCAYAAADMuCxnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngne/a3eSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1217a6978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.plot_surface(Y, X, Z, cmap=plt.cm.coolwarm, linewidth=0, antialiased=False)\n",
    "ax.set_xlabel('variance')\n",
    "ax.set_ylabel('logit value')\n",
    "ax.set_zlabel('loss')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeQAAAFKCAYAAADMuCxnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqYXjAlEtK7gKIXJ1YbOCgj7x/3B2sbqd5QomAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1214145f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.plot_surface(X, Y, Z, cmap=plt.cm.coolwarm, linewidth=0, antialiased=False)\n",
    "ax.set_xlabel('logit value')\n",
    "ax.set_ylabel('variance')\n",
    "ax.set_zlabel('loss')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Size: (151, 41)\n",
      "Max variance. min idx: 0 logit that minimizes loss: -9.0\n",
      "Min variance. min idx 0 logit that minimizes loss: -9.0\n",
      "Max logit value. min idx: 42 variance that minimizes loss: 0.840000001\n",
      "Min logit. min idx: 0 varaince that minimizes loss: 1e-09\n"
     ]
    }
   ],
   "source": [
    "print(\"Size:\", X.shape)\n",
    "print(\"Max variance. min idx:\", np.argmin(Z[-1,:]), \"logit that minimizes loss:\", X[-1, np.argmin(Z[-1,:])])\n",
    "print(\"Min variance. min idx\", np.argmin(Z[0,:]), \"logit that minimizes loss:\", X[0,np.argmin(Z[0,:])])\n",
    "print(\"Max logit value. min idx:\", np.argmin(Z[:,-1]), \"variance that minimizes loss:\", Y[np.argmin(Z[:,-1]), -1])\n",
    "print(\"Min logit. min idx:\", np.argmin(Z[:,0]), \"varaince that minimizes loss:\", Y[np.argmin(Z[:,0]), 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "idx: 0 logit value: -9.0 variance: 1e-09 loss: 4.54177e-05 fc'-fc: -10.0\n",
      "idx: 1 logit value: -8.5 variance: 1e-09 loss: 7.48606e-05 fc'-fc: -9.5\n",
      "idx: 2 logit value: -8.0 variance: 1e-09 loss: 0.000123374 fc'-fc: -9.0\n",
      "idx: 3 logit value: -7.5 variance: 1e-09 loss: 0.00020347 fc'-fc: -8.5\n",
      "idx: 4 logit value: -7.0 variance: 1e-09 loss: 0.000335399 fc'-fc: -8.0\n",
      "idx: 5 logit value: -6.5 variance: 1e-09 loss: 0.000552978 fc'-fc: -7.5\n",
      "idx: 6 logit value: -6.0 variance: 1e-09 loss: 0.000911416 fc'-fc: -7.0\n",
      "idx: 7 logit value: -5.5 variance: 1e-09 loss: 0.00150234 fc'-fc: -6.5\n",
      "idx: 8 logit value: -5.0 variance: 1e-09 loss: 0.00247565 fc'-fc: -6.0\n",
      "idx: 9 logit value: -4.5 variance: 1e-09 loss: 0.0040784 fc'-fc: -5.5\n",
      "idx: 10 logit value: -4.0 variance: 1e-09 loss: 0.00671535 fc'-fc: -5.0\n",
      "idx: 11 logit value: -3.5 variance: 1e-09 loss: 0.0110477 fc'-fc: -4.5\n",
      "idx: 12 logit value: -3.0 variance: 1e-09 loss: 0.01815 fc'-fc: -4.0\n",
      "idx: 13 logit value: -2.5 variance: 1e-09 loss: 0.0297504 fc'-fc: -3.5\n",
      "idx: 14 logit value: -2.0 variance: 1e-09 loss: 0.0485873 fc'-fc: -3.0\n",
      "idx: 15 logit value: -1.5 variance: 1e-09 loss: 0.0788897 fc'-fc: -2.5\n",
      "idx: 16 logit value: -1.0 variance: 1e-09 loss: 0.126928 fc'-fc: -2.0\n",
      "idx: 17 logit value: -0.5 variance: 1e-09 loss: 0.201413 fc'-fc: -1.5\n",
      "idx: 18 logit value: 0.0 variance: 1e-09 loss: 0.313262 fc'-fc: -1.0\n",
      "idx: 19 logit value: 0.5 variance: 1e-09 loss: 0.474077 fc'-fc: -0.5\n",
      "idx: 20 logit value: 1.0 variance: 1e-09 loss: 0.693147 fc'-fc: 0.0\n",
      "idx: 21 logit value: 1.5 variance: 1e-09 loss: 0.974077 fc'-fc: 0.5\n",
      "idx: 22 logit value: 2.0 variance: 1e-09 loss: 1.31326 fc'-fc: 1.0\n",
      "idx: 23 logit value: 2.5 variance: 1e-09 loss: 1.70141 fc'-fc: 1.5\n",
      "idx: 24 logit value: 3.0 variance: 1e-09 loss: 2.12693 fc'-fc: 2.0\n",
      "idx: 25 logit value: 3.5 variance: 1e-09 loss: 2.57889 fc'-fc: 2.5\n",
      "idx: 26 logit value: 4.0 variance: 0.040000001 loss: 3.02469 fc'-fc: 3.0\n",
      "idx: 27 logit value: 4.5 variance: 0.140000001 loss: 3.49429 fc'-fc: 3.5\n",
      "idx: 28 logit value: 5.0 variance: 0.220000001 loss: 3.93294 fc'-fc: 4.0\n",
      "idx: 29 logit value: 5.5 variance: 0.400000001 loss: 4.37995 fc'-fc: 4.5\n",
      "idx: 30 logit value: 6.0 variance: 0.240000001 loss: 4.77841 fc'-fc: 5.0\n",
      "idx: 31 logit value: 6.5 variance: 0.300000001 loss: 5.18946 fc'-fc: 5.5\n",
      "idx: 32 logit value: 7.0 variance: 0.540000001 loss: 5.65578 fc'-fc: 6.0\n",
      "idx: 33 logit value: 7.5 variance: 0.480000001 loss: 6.0057 fc'-fc: 6.5\n",
      "idx: 34 logit value: 8.0 variance: 0.580000001 loss: 6.41962 fc'-fc: 7.0\n",
      "idx: 35 logit value: 8.5 variance: 0.640000001 loss: 6.77593 fc'-fc: 7.5\n",
      "idx: 36 logit value: 9.0 variance: 0.860000001 loss: 7.21288 fc'-fc: 8.0\n",
      "idx: 37 logit value: 9.5 variance: 0.820000001 loss: 7.67112 fc'-fc: 8.5\n",
      "idx: 38 logit value: 10.0 variance: 0.640000001 loss: 8.01928 fc'-fc: 9.0\n",
      "idx: 39 logit value: 10.5 variance: 0.840000001 loss: 8.36429 fc'-fc: 9.5\n",
      "idx: 40 logit value: 11.0 variance: 0.840000001 loss: 8.6379 fc'-fc: 10.0\n"
     ]
    }
   ],
   "source": [
    "for i in range(len(X[0])):\n",
    "  min_var_idx = np.argmin(Z[:,i])\n",
    "  print('idx:', i, 'logit value:', X[0,i], 'variance:', Y[min_var_idx,i], 'loss:', Z[min_var_idx,i], \"fc'-fc:\", X[0,i]-1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/kyledorman/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:13: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABXMAAAL2CAYAAAAD9gXmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f2b6cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from decimal import Decimal\n",
    "\n",
    "def plot_variance_loss(idxs):\n",
    "  data_dict = {'variance':[], 'loss':[], 'wrong_logit_value':[]}\n",
    "  results_dict = {'wrong_logit_value':[], 'min variance':[], 'min loss':[]}\n",
    "  \n",
    "  for i in range(len(idxs)):\n",
    "    idx = idxs[i]\n",
    "    logit_value = str(int(X[0,idx]))\n",
    "    min_var_idx = np.argmin(Z[:,idx])\n",
    "    results_dict['wrong_logit_value'].append(logit_value)\n",
    "    results_dict['min variance'].append(\"{:.2E}\".format(Decimal(Y[min_var_idx,idx])))\n",
    "    results_dict['min loss'].append(\"{:.2E}\".format(Y[Z[min_var_idx,idx],idx]))\n",
    "\n",
    "    for i, loss in enumerate(Z[:,idx]):\n",
    "      data_dict['loss'].append(loss)\n",
    "      data_dict['variance'].append(Y[i,idx])\n",
    "      data_dict['wrong_logit_value'].append(logit_value)\n",
    "    \n",
    "  plot_df = pd.DataFrame(data_dict)\n",
    "  results_df = pd.DataFrame(results_dict, columns=['wrong_logit_value', 'min variance', 'min loss'])\n",
    "    \n",
    "  plot = ggplot(plot_df, aes(x='variance', y='loss', color='wrong_logit_value')) + \\\n",
    "    ggtitle(\"Aleatoric variance vs loss for different 'wrong' logit values\") + \\\n",
    "    scale_x_continuous(name=\"Variance\", limits=(0,3)) + \\\n",
    "    scale_y_continuous(name=\"Loss\", limits=(0,20)) + \\\n",
    "    geom_line()\n",
    "    \n",
    "    \n",
    "  plot.save('blog_images/aleatoric_variance_loss_function_analysis')\n",
    "  \n",
    "  return plot, results_df\n",
    "    \n",
    "#   plt.xlabel('Variance')\n",
    "#   plt.ylabel('Loss / max_logit')\n",
    "#   plt.axis([0, 2.5, 0., 15.0])\n",
    "#   plt.legend(handles=lines, bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
    "#   plt.title('Aleatoric variance vs loss for different incorrect logit values')\n",
    "#   plt.text(0, -5, 'Results for binary classification exampe where true\\nlogit value is held constant at 1.0. Running 10000\\nMonte Carlo simulations.')\n",
    "#   plt.savefig('blog_images/aleatoric_variance_loss_function_analysis', bbox_inches='tight')\n",
    "#   plt.show()\n",
    "\n",
    "\n",
    "plot, results_df = plot_variance_loss([4, 18, 20, 22, 26, 38])\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>wrong_logit_value</th>\n",
       "      <th>min variance</th>\n",
       "      <th>min loss</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-7</td>\n",
       "      <td>1.00E-9</td>\n",
       "      <td>1.00E-09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>1.00E-9</td>\n",
       "      <td>1.00E-09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>1.00E-9</td>\n",
       "      <td>1.00E-09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>1.00E-9</td>\n",
       "      <td>2.00E-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>4.00E-2</td>\n",
       "      <td>6.00E-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>10</td>\n",
       "      <td>6.40E-1</td>\n",
       "      <td>1.60E-01</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  wrong_logit_value min variance  min loss\n",
       "0                -7      1.00E-9  1.00E-09\n",
       "1                 0      1.00E-9  1.00E-09\n",
       "2                 1      1.00E-9  1.00E-09\n",
       "3                 2      1.00E-9  2.00E-02\n",
       "4                 4      4.00E-2  6.00E-02\n",
       "5                10      6.40E-1  1.60E-01"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import subprocess\n",
    "# requires imagemagick and latex command line tools\n",
    "\n",
    "def save_dataframe(df, path, file, columns=['type', 'mean', 'std']):\n",
    "  tex_file = file + '.tex'\n",
    "  pdf_file = file + '.pdf'\n",
    "  png_file = path + \"/\" + file + '.png'\n",
    "  log_file = file + '.log'\n",
    "  aux_file = file + '.aux'\n",
    "  \n",
    "  l = df.to_latex(columns=columns,  index=False, float_format=lambda x: '%.4f' % x )\n",
    "  template = r'''\\documentclass[preview]{{standalone}}\n",
    "  \\usepackage{{booktabs}}\n",
    "  \\begin{{document}}\n",
    "  {}\n",
    "  \\end{{document}}\n",
    "  '''\n",
    "  with open(tex_file,'w') as f:\n",
    "    f.write(template.format(l))\n",
    "\n",
    "  subprocess.call(['pdflatex', tex_file])\n",
    "  subprocess.call(['convert', '-density', '500', pdf_file, '-quality', '90', png_file])\n",
    "  \n",
    "  os.remove(tex_file)\n",
    "  os.remove(pdf_file)\n",
    "  os.remove(log_file)\n",
    "  os.remove(aux_file)\n",
    "  \n",
    "save_dataframe(results_df, 'blog_images', 'aleatoric_variance_loss_values', columns=['wrong_logit_value', 'min variance', 'min loss'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def bayesian_categorical_crossentropy_values(T, num_classes):\n",
    "  def bayesian_categorical_crossentropy_internal(true, pred_var):\n",
    "    # shape: [N, C]\n",
    "    std = K.sqrt(pred_var[:, num_classes:])\n",
    "    pred = pred_var[:, 0:num_classes]\n",
    "    iterable = K.variable(np.ones(T))\n",
    "    dist = distributions.Normal(loc=K.zeros_like(std), scale=std)\n",
    "    monte_carlo_results = K.map_fn(gaussian_categorical_crossentropy_values(true, pred, dist, num_classes), iterable, name='monte_carlo_results')\n",
    "    return K.mean(monte_carlo_results, axis=0)\n",
    "  return bayesian_categorical_crossentropy_internal\n",
    "\n",
    "# for a single monte carlo simulation, \n",
    "#   calculate categorical_crossentropy of \n",
    "#   predicted logit values plus gaussian \n",
    "#   noise vs true values.\n",
    "# true - true values. Shape: (N, C)\n",
    "# pred - predicted logit values. Shape: (N, C)\n",
    "# dist - normal distribution to sample from. Shape: (N, C)\n",
    "# returns - total differences for all classes (N)\n",
    "def gaussian_categorical_crossentropy_values(true, pred, dist, num_classes):\n",
    "  def map_fn(i):\n",
    "    std_samples = K.transpose(dist.sample(num_classes))\n",
    "    cross_entropy = K.categorical_crossentropy(pred + std_samples, true, from_logits=True)\n",
    "    return cross_entropy\n",
    "  return map_fn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "inputs = np.array([[0.0, i, 0.0] for i in range(-5, 6)])\n",
    "true = np.dstack([np.ones(len(inputs)), np.zeros(len(inputs))])\n",
    "bayesian_losses = K.eval(bayesian_categorical_crossentropy_values(1, 2)(K.variable(true), K.variable(inputs)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABAAAAAL2CAYAAADfBuS9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAD7g/wBLaXdwUdGv8gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13991de80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (327002793)>"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "df = pd.DataFrame({'loss':bayesian_losses[0], 'right logit - wrong logit':[-i for i in range(-5, 6)]})\n",
    "\n",
    "plot = ggplot(df, aes(x='right logit - wrong logit', y='loss')) + \\\n",
    "  geom_line() + \\\n",
    "  ggtitle('softmax categorical crossentropy vs. logit difference')\n",
    "\n",
    "plot.save('blog_images/softmax_categorical_crossentropy_v_logit_difference')\n",
    "plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are two distinct sections to this graph. When the logit different is less than -e the line is linear. When it is greater than this line the slope is non-linear."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def bayesian_categorical_crossentropy_monte_carlo(T, num_classes):\n",
    "  def bayesian_categorical_crossentropy_internal(true, pred_var):\n",
    "    # shape: [N, C]\n",
    "    std = K.sqrt(pred_var[:, num_classes:])\n",
    "    pred = pred_var[:, 0:num_classes]\n",
    "    iterable = K.variable(np.ones(T))\n",
    "    dist = distributions.Normal(loc=K.zeros_like(std), scale=std)\n",
    "    monte_carlo_results = K.map_fn(gaussian_categorical_crossentropy_monte_carlo(true, pred, dist, num_classes), iterable, name='monte_carlo_results')\n",
    "    return monte_carlo_results\n",
    "  return bayesian_categorical_crossentropy_internal\n",
    "\n",
    "# for a single monte carlo simulation, \n",
    "#   calculate categorical_crossentropy of \n",
    "#   predicted logit values plus gaussian \n",
    "#   noise vs true values.\n",
    "# true - true values. Shape: (N, C)\n",
    "# pred - predicted logit values. Shape: (N, C)\n",
    "# dist - normal distribution to sample from. Shape: (N, C)\n",
    "# returns - total differences for all classes (N)\n",
    "def gaussian_categorical_crossentropy_monte_carlo(true, pred, dist, num_classes):\n",
    "  orig_loss = K.categorical_crossentropy(pred, true, from_logits=True)\n",
    "  def map_fn(i):\n",
    "    std_samples = K.transpose(dist.sample(num_classes))\n",
    "    cross_entropy = K.categorical_crossentropy(pred + std_samples, true, from_logits=True)\n",
    "    return orig_loss - cross_entropy\n",
    "  return map_fn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "inputs = np.array([[0.0, 10.0, 1.0], [10.0, 0.0, 1.0]])\n",
    "true = np.dstack([np.ones(len(inputs)), np.zeros(len(inputs))])\n",
    "bayesian_monte_carlo = K.eval(bayesian_categorical_crossentropy_monte_carlo(1000, 2)(K.variable(true), K.variable(inputs)))\n",
    "wrong_logit_loss = bayesian_monte_carlo[:,0,0]\n",
    "right_logit_loss = bayesian_monte_carlo[:,0,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA7UAAAL2CAYAAACe4rFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13fa0d208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (336032264)>"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from matplotlib import gridspec\n",
    "\n",
    "df_dict = {'change in loss':[], 'loss_type':[], 'elu':[]}\n",
    "\n",
    "for l in right_logit_loss:\n",
    "  df_dict['change in loss'].append(l)\n",
    "  df_dict['loss_type'].append('wrong < right')\n",
    "  df_dict['elu'].append(' logit_loss_distribution')\n",
    "\n",
    "for l in wrong_logit_loss:\n",
    "  df_dict['change in loss'].append(l)\n",
    "  df_dict['loss_type'].append('right < wrong')\n",
    "  df_dict['elu'].append(' logit_loss_distribution')\n",
    "\n",
    "right_elu = K.eval(K.elu(K.variable(right_logit_loss)))\n",
    "for l in right_elu:\n",
    "  df_dict['change in loss'].append(l)\n",
    "  df_dict['loss_type'].append('wrong < right')\n",
    "  df_dict['elu'].append('elu( logit_loss_distribution )')\n",
    "\n",
    "wrong_elu = K.eval(K.elu(K.variable(wrong_logit_loss)))\n",
    "for l in wrong_elu:\n",
    "  df_dict['change in loss'].append(l)\n",
    "  df_dict['loss_type'].append('right < wrong')\n",
    "  df_dict['elu'].append('elu( logit_loss_distribution )')\n",
    "  \n",
    "plot = ggplot(aes(x='change in loss'), data=pd.DataFrame(df_dict)) + \\\n",
    "  geom_density() + \\\n",
    "  facet_grid(y='loss_type', x='elu', scales='free') + \\\n",
    "  ggtitle('Disribution of change in logit loss values')\n",
    "  \n",
    "plot.save('blog_images/change_logit_loss_analysis')\n",
    "\n",
    "plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>loss</th>\n",
       "      <th>mean loss</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>right_logit_loss_distribution</td>\n",
       "      <td>-0.000079</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>wrong_logit_loss_distribution</td>\n",
       "      <td>-0.016406</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>elu(right_logit_loss_distribution)</td>\n",
       "      <td>-0.000079</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>elu(wrong_logit_loss_distribution)</td>\n",
       "      <td>0.248629</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                 loss  mean loss\n",
       "0       right_logit_loss_distribution  -0.000079\n",
       "1       wrong_logit_loss_distribution  -0.016406\n",
       "2  elu(right_logit_loss_distribution)  -0.000079\n",
       "3  elu(wrong_logit_loss_distribution)   0.248629"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame({'loss':[\n",
    "      'right_logit_loss_distribution',\n",
    "      'wrong_logit_loss_distribution',\n",
    "      'elu(right_logit_loss_distribution)',\n",
    "      'elu(wrong_logit_loss_distribution)'\n",
    "    ], 'mean loss':[\n",
    "      np.mean(right_logit_loss),\n",
    "      np.mean(wrong_logit_loss),\n",
    "      np.mean(right_elu),\n",
    "      np.mean(wrong_elu)\n",
    "    ]})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we can see that when the wrong logit value is far larger than the correct logit value, the result is a normal distribution of values. When the right logit value is much larger than the wrong logit value, the result is not normally distributed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By applying the elu function to both results we can see that while the shape of the right_logit_loss stays the same, the shape of the wront logit loss is no longer symetrical. This is important because it allows the mean to be more heavily weighted towards the cases where the loss is less than the undistorted loss, i.e. the mean will be positive instead of close to 0. As the variance increases the mean will become more positive. This can be counter balanced by a variance weight term, `exp(variance)`. Because the mean of the `elu` is about the same whether the wrong logit term 10x greater or 100x greater than the correct logit term, it is helpful to weight the mean of the elu by the undistorted loss. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 789,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "inputs = np.array([[0.0, 10.0, i] for i in range(1, 12)])\n",
    "true = np.dstack([np.ones(len(inputs)), np.zeros(len(inputs))])\n",
    "bayesian_monte_carlo_wrong = K.eval(bayesian_categorical_crossentropy_monte_carlo(1000, 2)(K.variable(true), K.variable(inputs)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 790,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAg4AAAFkCAYAAABIPLOYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3Xd0lFX6wPHvnfTeCwkdpBNK6E1EFFQ60gRCs2LF+nN1\nd9217K67ihUsiEgXQZYOgoIgRSCU0EINLZNeJr3MzP398YaQkCAJICzyfM7JcXnfO/e9M+ds5sm9\nz32u0lojhBBCCFEVpps9ACGEEELcOiRwEEIIIUSVSeAghBBCiCqTwEEIIYQQVSaBgxBCCCGqTAIH\nIYQQQlSZBA5CCCGEqDIJHIQQQghRZRI4CCGEEKLKJHAQQgghRJVVK3BQSj2ulNqvlLKU/GxTSvW9\npM3flVJmpVSeUmq9UqrhJfddlFKfKqVSlVLZSqnFSqng6/FmhBBCCPH7qu6MwzngFaAtEAn8BCxT\nSjUFUEq9AjwFPAp0AHKBdUop5zJ9fAA8AAwFegBhwJJreA9CCCGEuEHUtR5ypZRKA17UWn+tlDID\n/9ZaTy255w0kAeO01otK/p0CjNRaLy1p0xg4AnTSWu+8psEIIYQQ4nd11TkOSimTUmok4A5sU0rV\nA0KBHy+00VpnAb8CnUsutQMcL2lzFDhbpo0QQggh/kc5VvcFSqkWwHbAFcgGBmutjyqlOgMaY4ah\nrCSMgAIgBCgqCSgu16ayZwYAfYDTQEF1xyyEEELcxlyBusA6rXXatXZW7cABiAVaAT7Ag8BspVSP\nax3IFfQB5v3OzxBCCCH+yEYD86+1k2oHDlprK3Cq5J97lVIdgGeBdwGFMatQdtYhBNhb8r8TAWel\nlPclsw4hJfcu5zTA3Llzadq0aXWHLK7SlClTmDp16s0exm1FPvMbTz7zG08+8xvryJEjjBkzBkq+\nS6/V1cw4XMoEuGit45RSicDdQAyUJkd2BD4taRsNWEvalE2OrI2x/HE5BQBNmzalbdu212HIoip8\nfHzk877B5DO/8eQzv/HkM79prstSf7UCB6XUO8AajGRGL4xpjzuBe0uafAC8rpQ6gRHZvAmcB5aB\nkSyplPoKeF8plYGRI/ERsFV2VAghhBD/+6o74xAMfAPUACwYMwv3aq1/AtBav6uUcgc+B3yBLcB9\nWuuiMn1MAWzAYsAFWAs8eS1vQgghhBA3RrUCB631w1Vo8wbwxm/cLwSeLvkRQgghxC1EzqoQlzVq\n1KibPYTbjnzmN5585jeefOa3tmuuHHkjKKXaAtHR0dGSUCOEEEJUw549e4iMjASI1Frvudb+ZMZB\nCCGEEFUmgYMQQgghqkwCByGEEEJUmQQOQgghhKgyCRyEEEIIUWUSOAghhBCiyiRwEEIIIUSVSeAg\nhBBCiCqTwEEIIYQQVSaBgxDif0JW1m7OnPkHt0I1WyFuZ9U9HVMIIX4XZ868RVraMpRypHbtl272\ncIQQlyEzDkKIm85mKyAjYz2urg04der/yMj48WYPSQhxGRI4CCFumnXp6SxPTSUzcxN2ex4tWnyP\nn19vDh0aQUHBmZs9PCFEJSRwEELcFEV2O1FHjjDw4EHeOn0cF5d6eHi0pFmz+Tg6enHw4BBstvyb\nPUwhxCUkcBBC3BTfp6SQXFzMIzVq8EF2Sz5w+DM2rXFyCqB58+/JyzvM8eOTJVlSiP8xEjgIIW6K\naWYzPX19eT+8iFf4J9/n1WXAwYPkWK14ebWhUaMvSUychdk8/WYPVQhRhgQOQogb7kBODlssFiaH\nhZGWtpL7Tb+wokUzfrFYuHPfPhILCwkNHUN4+NOcOPEsFsu2mz1kIUQJCRyEEDfcZ2Yzoc7ODAoM\nJC1tJf7+99I3MIQtbdqQWFREpz17OJKbS4MG7+Ht3ZlDh4ZSWJhws4cthEACByHEDZZttTI7KYlH\natRAW9PJytpOQEB/AFp5erKjbVs8HRzouncvW7NyadZsEWDi0KFh2O1FN3fwQggJHIQQN9bcpCTy\nbTYerVGD9PTVgCYg4P7S+7VcXfmlTRtae3rSe/9+lllMNG++mOzsnZw48fzNG7gQApDAQQhxA2mt\nmW420z8wkJqurqSlrcTLqwPOziHl2vk6ObE2IoJhQUGMOHyYGVk1adDgI8zmT0lM/Kbazy0ogEOH\nrte7EOL2JoGDEOKG2WqxcCA3l8lhYdjtRaSnryMgoF+lbZ1NJuY0bcqrtWvz4smT/Cv/boJCJnHs\n2ONkZ++p1nOnT4d27SAv73q8CyFubxI4CCFumGlmM3e4uXG3nx8Wyy/YbFmXDRwAlFK8U78+nzVq\nxLT4eF6zPo2DexsOHhxCUVFqlZ/766/GrMPu3dfjXQhxe5PAQQhxQyQXFbE4JYXHw8IwKUVa2kqc\nncPx9Gx9xdc+FhbG8pYtWZ9h4XneI83mwJEjo7DbrVV69p6SCYptsqtTiGsmgYMQ4ob4KiEBB6UY\nHxqK1pq0tBUEBPRDKVWl1z8QEMDPrVtzutDOs6YZHMyIJS7utSu+zmKB48fBwUECByGuBwkchBC/\nO5vWfGY2Myo4GH8nJ/Lzj5Gff+I3lykq087bmx1t2+Lk4M4zppmsO7eC5OTvfvM1e/ca/x082Agc\npIK1ENdGAgchxO9udVoaZwsLmRwWBkBa2kpMJlf8/HpVu696bm5sbduWpp4BvMCHzDjyGbm5l98y\nER0Nbm4wcSKkpRmzD0KIqyeBgxDidzfdbKadlxftvL0BI3Dw9b0bBwf3q+ovwMmJDa1a8UBgMK/r\n1/jrvo+wWi2Vtt2zB1q3hi5dQClZrhDiWkngIIT4XZ3Mz2dtenrpbENxcSaZmVuqvUxxKVcHBxY1\nj+CpUG/eKx7Fw7u/xGa3VWgXHQ2RkeDjAy1awNat1/RYIW57EjgIIX5Xn5vN+Do6MiI4GICMjHWA\njYCAB665b5NSfNSkHe/UKGR2QVsG7f6eAtvF4CE7G44dMwIHMGYdZMZBiGsjgYMQ4ndTYLMxMyGB\n8aGhuDs4AJCaugJPz9a4utZi5Ejo1QvOn7+257zauA/Tgo7wQ543vfZsIr24GDASI7UuHzgcPgwZ\nGdf2PCFuZxI4CCF+N9+lpJBmtfJ4yTKF3W4lPX0NAQH9iIuDb7+FHTuMHIQ1a67tWY81e4IZ3t9z\nODeXLtG/cjo/nz17wNUVmjY12nTtavx3x45re5YQtzMJHIQQv5tpZjP3+PnRyN1IgszK2oHVmk5A\nQD9mzgRvb4iNhY4d4f774f/+D0omC6pNKROjIt7lS5d3ySlMpPOePfxwOptWrcDR0WhTvz4EB8ty\nhRDXQgIHIcTvYm92NjuysniiZLYBjN0UTk5BuLm15+uv4aGHoHZtWLEC3n0X/vMf6NkTzp27umc6\nOvpwf8TnfMqzBOnzrO27l8AH0krvKyV5DkJcKwkchBC/i+lmM+HOzvQPCCi9lpa2koCAB/jhBxPx\n8fDww8Z1kwleegk2bzaChtatYdWqq3uuh0dzOjf9gH9Zx1MjIZ013Q4ww2wuvd+li3F2hbVq1aoB\nKLTbmRYfT8foaA7l5l7dwIT4g5DAQQhx3VmsVuYlJfFYWBiOJuPXTH5+HHl5hwgI6MeMGUZw0LZt\n+dd16WIkNHbpAv36wcsvX93SRXDwMDxMz/B17eEMcdI8cuwYf46LQ2tNly6QmwsxMVfup8Bm4+Pz\n52mwYwdPHz9OdHY2a9PTqz8gIf5AJHAQQlx3sxMTKdKah2vUKL2WlrYSpZwoLOzDihXGbENlx1QE\nBMDy5cayxdSpcOedcPZs9cewb9/bHIrpwTN6OG/V9uetM2cYHxtLyzZ2nJx+e7ki32bjw/Pnqf/r\nrzx34gS9/Pw43KED7by8iMnJqf5ghPgDkcBBCHFdaa2ZZjYzODCQGi4updeNapE9mTfPEycnI7/h\ncpSCF16ALVsgPt6YnVixonrjiI52ZNmyhTg6utM3YxJzGzdkYXIyQ48foFUXa6WBQ57NxvvnzlFv\nxw5eOHGCe/38iO3QgdlNm9LY3Z0IT09iZKlC3OYkcBBCXFebMjOJzcsrrRQJYLVmk5m5CX//fnz1\nFTz4IPj5XbmvTp2MpYtu3WDAAHjxxaovXURHQ9OmgdQunEV2ZgyRlr+yLiKC3dnZnH5+L5uPFJS2\nzbXZ+PfZs9TbsYOXT57kgYAAjnbsyKymTbnD/WJZ7AgPDw7n5lJst1f58xDij6ZagYNS6lWl1E6l\nVJZSKkkptVQp1eiSNl8rpeyX/Ky+pI2LUupTpVSqUipbKbVYKRV8Pd6QEOLmmm4209TdnTt9fUuv\nZWRsQOsiYmOHcvz4xaTIqvD3h2XL4P334cMPoUcPOHPmt1+TlwdHjkCHugXEDXWCf08hMXEmjfIX\nsbVNG/CwEv+nPaw4YeFfZ89Sd8cO/hQXx8DAQI537MhXTZrQwM2tQr8Rnp4Uac2x/PyqvwEh/mCq\nO+PQHfgY6Aj0BpyAH5RSl/4/bA0QAoSW/Iy65P4HwAPAUKAHEAYsqeZYhBD/Y8yFhSxNTeWJsDBU\nmQSGtLSVuLs3Zc6ccBo2NL78q0MpmDIFfvkFEhKgTRsjD+Jy9u8HZbfTcMFhHDwccNj+AJ7nx3D8\n+NOEWw/wfYMIUDDg3F5eO3WKoYGBnOjYkS8aN6ZeJQHDBS09PAAkz0Hc1qoVOGit79daz9FaH9Fa\nHwDGA7WByEuaFmqtU7TWySU/pcfWKaW8gYnAFK31z1rrvcAEoKtSqsM1vRshxE01IyEBZ6WICg0t\nvaa1nbS0VTg5DeO77y6fFFkVHTsaSxc9esDAgUYeRFFRxXbR0fCIKQ7rQQsJ7yQQOCgQ2z8fx92z\nHTtiBjHu3AbwKcIr3wWlFF19fKjj6nrF5/s5OVHLxUXyHMRt7VpzHHwBDVy6P6lnyVJGrFJqmlLK\nv8y9SMAR+PHCBa31UeAs0PkaxyOEuEmsdjtfmM2MCQnB50KpRiA7ezfFxUn8+ONYioth3Lhre46f\nHyxdauy4+Phj6N4dTp8u3yZxWRoj7OeYc+8cJsVPwjTQg/xDxbxw+CVybcX8y+Ethi6OpMlbHRkX\nEkJUbCxvnzmD1vqKz4/w8JAZB3Fbu+rAQRnzkB8Av2itD5e5tQaIAnoBLwN3AqvVxXnLUKBIa511\nSZdJJfeEELegFWlpxBcVlasUCcYyhaOjH/PnN6B/fwi9Dv8vVwqee85YukhONpYuli0z7hXGF9Jp\nYyyxdTOZ23U5ltAhtPM6TrYnjN5em1bNFxNcvI9R977Ovt0mPqrdmL/XrcvrcXE8duwY1iskPsrO\nCnG7c7xyk8uaBjQDupa9qLVeVOafh5RSB4CTQE9g4zU8jylTpuDj41Pu2qhRoxg16tIUCiHEjTbN\nbKaztzetvbzKXU9LW0li4hPs3at4883r+8wOHWDPHpg4EQYNgmef0YzcdYR8DX9+cQs0W4AJcEj9\nkbDBownekEP9T3vi2vADtH6KO+9sT3T0GP7cvS61XV15+OhRzhcWsqhZMzwdK//1GOHhwfnCQtKL\ni/F3crq+b0iIa7RgwQIWLFhQ7prFYrlM66ujqjI1V+FFSn0C9Ae6a62vWJpFKZUMvKa1/lIpdRew\nAfArO+uglDoNTNVaf1jJ69sC0dHR0bS9tNScEOKmO5aXR+OdO5nTpAljykwpFBbGs317TWbNOsaG\nDXdw+vTFA6euJ62NZYsXpmga2LPh1QMcvTuLR0JDGOxZzP2zOrEifAWej3gSuScSz9aeHDkygXPn\nvuXYsW08/XQbANanpzP00CHucHNjVcuWhJapQ3HB4dxcmu/axcZWrehZlT2lQtxke/bsIdI4Wz5S\na73nWvur9lJFSdAwELirikFDTSAASCi5FA1YgbvLtGmMkWS5vbrjEULcfJ+ZzQQ4OvJgUFC562lp\nKyko8GTp0oZMmPD7BA0AKcVFFPgc4kP7HuI9nTj6QVs6/RDHF83bcl+djnSr3Y3/6P/g6O9IyqIU\nlFI0bjyd9PRm1K49hOJi4yCse/z92dKmDYlFRXTeu5fYSpYkGrm54ayULFeI21Z16zhMA0YDDwG5\nSqmQkh/XkvseSql3lVIdlVJ1lFJ3A/8FjgHrAEpmGb4C3ldK9VRKRQIzga1a653X760JIW6EPJuN\nrxMTmVSjBq4ODuXupaWtZNeuV8nKUkyYcP2fXWCz8dLJk7RdtZ1Gz6UQ3L2YxuO+g7qr2fHuZJ59\nFgqzCnkvvQObz/8MfSD522S01jg4uBEX9z1KZXP48ENobQOglacnO9q2xdPBgS5797IlM7PcMx1N\nJppLgqS4jVV3xuFxwBvYBJjL/AwvuW8DIoBlwFHgS2AX0ENrXbbe2xRgJbC4TF9Dr+YNCCFuroXJ\nyVisVh67JCnSZssjI2MDK1eO5e67oX796/tcm9aMOnKEaWfP89G/nQl0c+K+b1tywP2v1O23iI8/\nhs8+g67N0gl8cSnjk0JZdscyCuIKyI7OBiAysg5/+9tCMjI2EBf359K+a7m6sqV1a1p7etJ7/34W\nJSeXe3aEh4fMOIjbVnXrOJi01g6V/MwuuV+gte6rtQ7VWrtqretrrZ/QWqdc0k+h1vpprXWg1tpL\naz1Ma51c+VOFEP/LppvN9PX3p/4lhZMyMzdy+nRtdu6sVa1KkVWhtWbysWOsSE1l6Zog/H8tpPn8\nZiyMX0KRx2keqvUaTz0F29ZmkZFQQBv20vaXh/iQDzEFmkhZZPxKMupC9CYj4x+cPfsPUlK+L32G\nr5MTayMiGB4czIjDh3nv3LnS7ZoRnp4czM3FdhU5YkLc6uSsCiHEVduVlcXu7Oxy51JckJa2kh9+\neAF/f82gQdf3uW+cPs0XCQnMS62F83+SqfvXunj38ObNTe9A7AAGdowAIHLDv9jj0oV7G5/l6UPv\n4bb6Y461P0PyImO5wtcXmjeHNWteIijoQWJjx5Gbe6T0Oc4mE7ObNOFPtWvz4smTPHviBFprIjw8\nyLfbOSmlp8VtSAIHIcRVm2Y2U8fFhfsCAspd11qTmLiOtWtHMXasogpFGSvYk7CHIlvFspDT4uP5\n+5kz/MerNrWeTsL3Ll/qvFaHJUeWcCb3KKatr9GyJZCUBB98gM9zE1i0pQafmJ4hb88EntvVnlNn\nFNk7jeWKLl1g2zZF48YzcXGpzcGDg7FaL5aZUUrxdv36TLvjDj6Oj2dNejoRnp6AlJ4WtycJHIQQ\nVyW9uJiFyck8FhaGwyU1pHNy9rNpU2vS0ryYNKn6ff9y9hciv4ik28xunEw/WXp9cXIyTx0/znM1\nwrn7/7LQWtN0XlO0SfPW5rcIL7iXFn4dcHMD3nkHnJzgpZdQQYE8OTSRrbVHkGtz5FEVyTdvGTkK\nXbrAoUOQk+NFixZLKSw8z7lz71UY0+NhYbTw8OCbxESCnZ0JdXaWPAdxW5LAQQhxVWYlJmLTmkk1\nalS4l5a2ktWrH6djR7vx1381vb/9fer71Sc9P53Wn7dmbsxcNmZkMPrIEUYGB/PMIicyf8yk2bxm\nuIS6sPLYSg4kH8Bj9+tERmIcn/nZZ/DyyxfP7540iQ6n/8uLz75EnYCjPLOyBk8+qY32wI4d4O7e\niNDQcSQkfIHdXn62QynFuJAQlqWmkllcLKWnxW1LAgchRLXZtWa62cywoCCCCwshLa3c/UOHdrJr\nV28efrj6v2JOZZziv7H/5ZWur7D3sb0MbjKYsUvH0mfRKLp6OPFhUihn3jhNndfr4He3H1pr3t7y\nNl1rdifu5+5GIPD3v4OvLzzzzMWOe/eGWrV4+bjC8YHRPMcxZnwJUVHG0d3bthnNwsMnU1SUSGrq\nfyuMbXRICMVasyglRUpPi9uWBA5CiGr7MSODE/n5xrkU48ZBeDg8/zwkJ1NUlMSSJa1xdbUxYkT1\n+/7o14/wd/NnbMRYvFy8eKPv5/i0+Au2lC2c2RLF8ueW4tPdh7p/rQvAhlMb2Bm/k1Hhr1NcDF0C\njsKsWfDaa1CSiwCAgwOMH0/Q8g3U6OjNXT6xLHrwHNnZkJVlHJwF4OHRHB+fO4mP/7TC2Gq4uHCv\nvz+zExOJ8PAgrqCALKu1+m9SiFuYBA5CiGqbZjbT0sODrjYbrFwJ3brBjBlQvz6FLz7M1pVDGTHC\nyiXHVlyRpcDCV3u/4vF2j+Pm5EZyURF9YmIIrnk/WyftwtXswmMDH2PtK2vRJmMr5Ftb3qJ9WHuc\nzt6DyQQtF//FCGQee6ziA8aPh+xs/mGJZH2T9fj8dIrduzTNmsHBg/D441BQYMw6WCybyck5WKGL\nqJAQtmZl4VtSBvOgzDqI24wEDkKIajlXUMDy1FQmh4Whli4Fmw3mzoW4OHjqKdw+W8uvKXfyN6f3\nIDu7Wn1/tfcrCq2FPNn+SbKtVu6PiSHHZmNdRAQ1vvHgg6kfMLnmZP6080/0nduXpUeWsvnMZl7v\n8Tp79iiG1NuL45JF8MYbUMk5E9SvD7160WbNXo53Pg5JoA9Y+OQT4/bXX8Orr0Jg4GCcnUMxm6dV\n6GJQYCDeDg7syMrCUSnJcxC3HQkchBDV8kVCAh4ODowOCYEFC6BnT+Os7IAA7O/8jRHtp7Pcdxg1\nZ71pfFG//z5Uod6B1W7lo18/YmSLkQR4hDDk0CGO5+ezNiICv+hC4l6Po8FLDfjo0Y9YN2YdMUkx\njFwykrq+denXqB/R0fB6wevQqJGRuHA5EyeiNm9mbJdOpHincHLOSdq1MzZgdOtmxEA2mxM1ajxK\nUtKcclszAdwcHBgWFMT85GQau7lJnoO47UjgIISosiK7nRkJCYwNCcErJQU2boQyx9qfPLmd5Tuj\nSPi/v6GOHzfOun75ZWjY0NjlUFSxLsMFy2KXccZyhmc6Psu42Fg2Z2ayrEULmhW6cGTUEbw7eVP3\nzboA3NvgXmYNmkWRrYjTmad5Ye1LuB/4iVbxq+HNN3/7NK0hQ8DHh2G7c9kesZ2UxSm4OmvatjUm\nKVJTYd06CAt7FJstn6SkORW6GBcayumCAmNLpsw4iNuMBA5CiCr7b2oqiUVFRlLkd98ZX9BDhpTe\n//rrDJTSTJxYA2rXhi+/hCNHjFmJyZOhSRP45htjeeMSU3dMpUftHszJ9ebb5GTmN2vGnT6+HBl3\nBFuejWYLmmFyvPgra/ru6TTyb8R7977HJ7s+JnHcQPa2bQIPPvjbb8LNDUaPxnnufEIfDMI1wxXz\nj2a6dIHDh6FFC5gzB1xcwgkMHER8/LTSUtMXdPPxoZ6rKxabjZjc3Ar3hfgjk8BBCFFl0+Lj6eHj\nQwtPT1i4EPr0MfYyAna7ZuHC5txzzwGCgsoUhLrjDpg3D2JioHVrI0GxRQtYtAjsdgB2xe9i67mt\n1G4wmo/i45l2xx0MDQri3PvnSF+VTtPZTXGtdbH8ZExSDMuPLue1Hq/xfOfnmZr1Pjjn0H3QaWbF\nzL7yF/nEiWA2M7FGOEk+SWz7bBtduhjlHwYOhOXLwWIxkiTz8g5jsWwu93KlFFEhIRzKzSXbZuNM\nQcF1+XyFuBVI4CCEqJLDubn8bLEYsw2nT8P27eWWKTZtOkNcXCMmTao4mwAYwcL338OuXVC3LowY\nAW3bwsqVTN3+PkFedZhra8Bf69Th8fBwLDssxL0aR60XaxHwQPmS1u9seYd6vvUY1WIUaE3/2bP4\nanYnhkeMZMKyCYz+fjSWAsvl30zbttCqFYHfLiO5ZzIu611o3844wLd2bSgshCVLwNf3Ltzdm1S6\nNTMqNJT8ksBnv+Q5iNuIBA5CiCqZbjYT7OTEkKAg+PZbY8p/wIDS+59/nkVo6Gn694/47Y7atYM1\na2DzZvDxgf79eWbKQiJSWvNYWE3+WrcuxRnFHB55GK92XtR7p165lx9NPcqiQ4t4pesrODk4wdKl\n1EmJ5ueO/2TmwK9ZMHQBq46vos3nbdhxfkflY1DKmHVYvpxuI5rhnePN3h9XUbcuHD0Kd91lJEkq\npQgLm0xq6lIKC83luqjv5kY3b2/ZWSFuOxI4CCGuKMdq5ZvERB6pUQNnk8nYTdG/f2mBpawsWL78\nDoYO3YqTk9sVeivRvTts2sS/3hyMSZvY8M9lTH/iCdi2jdgJsdiybDRb2AyTU/lfU//45R/U8KrB\n+NbjwWZDv/4660334nH/nQCMbDGSfY/tI8QzhG4zu/GPLf/Aru0Vnz96NJhMtDbvJyMog6Ozj5Yc\neAVjx8KmTXDuHISGRqGUCwkJX1boYlxoKFat+TUrq2L/QvxBSeAghLii+cnJ5NpsPBoWZiQ77t8P\nI0devD8/l6IiZ8aNU7/RS0W7M1N4VW1g6D8eouj771Gpqahu3Qhb9gjNXy/EtU75YzXjMuKYGzOX\nl7u8jIujC8ybhzpyhFftb5eeOQFQz68em8dv5pWur/DaT69xz5x7MGeXnzEgIAAGD0bN/AqPQe40\n2dWEGm23ER0N991n7LCYNw8cHX0ICRmD2fwFdntxuS6GBQfjABI4iNuKBA5CiN+ktebT+Hj6BQRQ\n29XVSIr09ja+XUt88UU+7duvJSLizir3e66ggHvW/xttzWVV37/gPHgwWV9u5rDDn/HyS8bvhd7G\nDonDh0tf86+t/8LfzZ9HIh8xtnb+9a+cjhzCHtWO1q3L9+/k4MTbd7/NhqgNxKbG0vyT5nQZ34UZ\nM2ZcbDRxIhw+TMcuHvjk+5B1bjHFxXBhJ+mcOaD1hfMrzKSmLiv3DB9HRyK9vEi1WsmV0tPiNiGB\ngxDiN23PyiImN5fJ4eHGt+jChTB4MLgaswExMbB3byBDh27ExSW8Sn2mFxdz7/595JxZxAONBxER\ndAfFmcUcHhVLftuBOJ6PhZkzYfduaNkSoqJI3L+Nr/d9zQudX8Ddyd0ocX3mDPMav0mjRly2vHXn\n0M6MyhyF5aCF7fW28/z658kryjNu3n031K6N99bZFNUswneLI25hcaXLFYcPw7594OkZgY9Pt0or\nST4UHAzAktTU6n+4QtyCJHAQQvym6WYzDVxducfPD/buhWPHyu2mmDHDhp9fMgMHVu1gijybjX4H\nDmBO3II17yx/6voCWmuOPnyU4vRimn3bDJO7M0yYYGQqfvQRrF9PUGR3Pl8Bk2sMgLw8o9DT2LGs\nimtWbpmhxQ2oAAAgAElEQVSirNWrV9O8eXM+/tfH/Kn+n5hcdzLZjbJp9XErjqQcKT34Sn27kDrD\nw+h+pDvBfT5i2za45x4ICjJmHQDCwp4kM3MjubmHyz1jQsmx4t8kJlb/wxXiFiSBgxDislKKiliU\nnMzjYWGYlDKSIgMDjb/UMQ6EmjPHTp8+XxMaev8V+7Pa7Yw4fJiYnBwap62iQ3gHOtfsjHmamdQl\nqTSZ2QS3emWSK11c4MknSY7Zzuv3mBge64BX8zZG/YjUVKyvv8G+fVQIHM6ePcuQIUN44IEHaNCg\nATExMbz15lt8EvUJ4avDSc1IJfKLSGbsmYEuOfgq3DcGr3wvwgv38svuTBwdjfhowQKwWiEoaAhO\nTsGYzdPLPcvb0RE/R0e2ZWVRZK8kCVOIPxgJHIQQlzUzMRFFyV/VdruxDXPYsNKSzv/9L2RmOjFw\n4HK8vC7zZ38JrTWPHjvG2vR0/h2q2HXuZ6Z0mkLO3hxOPH+C8KfCCRoSVOlrp+7/nE97uFFw7DC8\n8AL88gsAGe9+iUt+RmngUFxczLvvvkvTpk3ZsWMHCxcu5IcffqBx48aAsb3y4f4PY51mZVTzUTyy\n4hFG7H6FzHt74PHDZzg1dKLH4c6k1ZnByZPGckViIvz4I5hMztSo8QiJid9gtZY/vKu9lxcFdjtr\n0tOv4dMW4tYggYMQolI2rfncbGZEcDABTk7GPsVz5y5ZpoA2bXbRunVTlPrtXyevxcXxdWIis5o0\nYdeRr6npXZOB4QM5NPwQHi08aPCfBpW+Lj0/nU92fcLk9pPxD6lrLC+4usLjj+M7+0PiqEfHH95k\n69q1tG7dmldffZVHH32U2NhYRowYgVLld3qMGTOGnIwc7im4h++Gfcf6U+tp3eMw289sIexeF3oe\nuwunyGls3lpMZCQ0blx2ueIxbLZckpLmleuzu48PDsBsWa4QtwEJHIQQlVqXnk5cQYGRFAlGUmTN\nmtC1KwCnThl/ifft+xEBAf1+s68Pz5/nH2fP8l6DBvT2gHkH5vF0h6c5/cxpipNL8hpcKv919PGv\nH2Oz23i+8/OQnGyctvnMM/Dxx/wt6hRLvYfj8M83aHTffTyem8uerVuZOnUq3t7elfbXsGFDunTp\nwuzZs3mw2YPsf3w/tUIb0WMCzHT5PxzzHYhMDWH+3iUoZcw6LF0KOTng6lqLwMABmM2flitrHeHp\niQ1YkZZGWnFxpc8V4o9CAgchRKWmxcfT1tOTDl5exiL/d98ZZaJNxq+NmTPB27uQO+9cgZ9f78v2\nszApiedOnOClWrV4vlYtpu+ejqPJkYlNJpK8MJm6b9TFvaF7pa/NLszmw18/5NHIRwn2CIZ//tOY\ncXj5ZWw2Gwt++p7H8r+jrZcXad2789T587QaMgSmTfvNkzijoqJYt24diYmJ1PapzcYJP/N6fnve\n8fqRl594ia7H72Obfg+tNaNHG7mYS5carw0Le5Lc3INYLL+U9hfh4QEYszTfJidX96MW4pYigYMQ\nooK4/HxWp6czOTzcmOrfuNH4a7+k6JPVCl9/DX37riU0tBOOjp6V9rM+PZ2o2FiiQkL4Z/36FFgL\nmL57OuNbjce014S2avz7+F92HNN3Tye3OJcXu7xoLJNMmwYvvsjuuDg6derEqVOTadNmKBtPnKDJ\n5s2o2FgjcfOpp4w1hvXrK+13+PDhODo6Mn/+fAAcTY68MepzNn4DCX7n+OLu9yjy3svaw1upW9co\ncnlhucLPrxdubo3Kbc2s4+qKl4MDjdzdZXeF+MOTwEEIUcEXCQl4OzgwsqRGAQsWQMOGpdsX1q4F\nsxnuueetyy5T7M7KYsihQ/T282NG48aYlGLBgQUk5ybzbKdnsWy24BTohHuzymcb8orzeG/7e0xo\nPYGa3jXhzTfJ9PDgybNn6dChA9nZRcBW/vGPGQQGBhovatjQ+IY/cADq1TMSOU+frtC3n58fAwYM\nYPbs2RcvtmlDD7/W/LqrD61Pt8LmaGPiiijyi/MZO9ZYljGbQSkT4eGTSUlZQmGhESQopYjw8CDQ\n0ZGd2dnEyqFX4g9MAgchRDmFdjszEhIYHxqKh4ODcVTk998bsw0liYYzZkBERAYNG+6uNHA4npfH\n/QcO0Nzdne+aN8fJZEJrzdQdU+nXqB+NAhqR+XMmPt19KiQvXjBjzwzS8tJ4pesr6GPHmDNjBo2L\nipi9cCHvvfcer74aDXShbdtKXty8uTFmX1/jTIpKqjpGRUWxf/9+YmJiLl6cNIlaP33Lf/b/kwc2\nPUFiQRytP29Nh3tP4+hoxE8AISHjUMqJhISLVSgjPD1Jt1rxdXRkdlJSlT9vIW41EjgIIcpZnJJC\nanExT1xIily7FiyW0t0UCQmwciUMGrQcD48WuLnVLff6lKIi+sTEEODkxKqICCP4AH6K+4kDyQeY\n0mkKtgIbWb9m4dPDp9IxFFoLeXfru4yJGEN+Qj53de9OlNb07NOH2NhYpkyZwr59jjRoYMQGlfL1\nhfnzYccOeOutCrf79u1LYGAgcy6sQQA89BA4OBBcJ45ntozErSCI+Kx4/rX7T/Tvf3G5wsnJl5CQ\n0SQkfI7dbgQlER4eHMvPZ1hQEHOSkrCVSZ4U4o9EAgchRDnT4+Pp5etLY/eSJYSFC42yz82aAfDN\nN+DsrOnc+c1KZxvmJCWRUFTE2ogIYxtniak7phIREsFdde8ie1c2ulDje2fl3/o7zu8gPi0eNkCr\nVq2IT05m3bPP8u3ixYSXBDTR0RULP1XQpQv89a9Glclffil3y8nJiYceeoi5c+divTAj4e8PgwcT\nfPxLnG12uq7/M8W2Yr47/B33jTjP/v3GKghAWNhkCgvPk5a2AjBmHKxa093Hh/OFhWzKzLzC4IS4\nNUngIIQotT8nh61ZWRe3YObmwvLlpbMNWhvLFAMHpuDqerLSwGGbxUJ7Ly/quF482fJo6lFWHV/F\nlE5TUEqR+XMmDj4OeEZUTKrUWjP3u7nwKSycsZA/N2jAgXr1uPff/y5tY7cb1a8rXaa41J/+ZAQQ\no0fDJV/mY8eOJTExkR9//PHixUmTcD/1M7YQReeYrmg0DsqBWO9P8PeHuXONZl5erfH27kJ8/KcA\ntCjZWWHXmjvc3CRJUvxhSeAghCg1PT6eMGdnBgQEGBeWLzf2Ipbspvj5Zzh5EgYN+i+Ojv54e3cq\n93qtNduzsuhySQ2FD3/9kGCPYEa1MAIQy2YLPt18UA7l8xvi4uLo378/M16egVe4F4fmzOEvR4/i\n+tZbUGb24vhxo67CFWccwKhyOXeusdzy2GNG9FMiMjKSpk2blk+S7NUL6tQhyHsPna05DAufgJPJ\nia/2fcGQEbnMmwc2m9E0PHwymZk/kpsbi7ejI/VcXTmQm8u40FCWpKSQIydmij8gCRyEEABkWa3M\nTUrikRo1cCqp1cDChdCxo7FDAWO2oVEjqFfvUwIC7kcph3J9nC0sxFxURGefi7kL6fnpfLP/Gya3\nm4yLowv2YjuWbRZ8e1xcpigsLOTtt9+mWbNm7N+/n8aTG9P/b/1oMG2asUxSErhcEB1t/LdKMw4A\nderAF1/AokXGWksJpRRRUVEsXbqUrKws46LJBBMmUP/cNNywM+DkeHKKc7AUWvDtOZv4eCOAAggK\nehAnp6DS8ysiPDyIyc1lTEgIeXa7nJgp/pAkcBBCAEZuQoHdziNhYcaFjAxYs6Z0mSIjAxYvhqio\nDPLyYggI6F+hj+0WCwCdy8w4fBn9JTa7jSfaPwFAzp4c7Ln20vyGDRs2EBERwRtvvMHTTz/N4cOH\nSaiVQL/z7rBpk5HYaCr/qyo62ohl/C9fAqKi4cONEzefesqYsigxevRoCgoKWLJkycW248fjUXiS\nVArx/slYgmgb2pblyR9Qv4G9NEnSZHKhRo2HSUychc2WS4SnJzE5OdRxdeUuX18pQS3+kCRwEEKg\ntWZafDyDAgMJd3ExLi5damxjHDYMoHSK/v77l6GUI35+91boZ3tWFg1cXQl2dgag2FbMxzs/ZnTL\n0UblRyBzcyYmdxN5NfMYNWoU99xzD8HBwezdu5d3332XdFs6WQVZ3DdzszHb0b9igLJnTzVmG8r6\n6CMICzN2T5RUlqxVqxa9evUqv1xRpw707k0wm3CJzqShS0OaBTXjWNoxOo5Zw5IlxgoOXDi/Ioek\npHlEeHiQVFxMUlERUSEhbMzM5GxBwVUMVIj/XRI4CCHYYrFwOC/v4hZMMIoW9OwJYWFoDV9+aXyH\nOzh8h49Pd5ycKu6I2JaVRZcyyxSLDy8mPjue5zo9V3ot8+dMfLr48OQzT/LDDz8wa9YsNm/eTIsW\nLQA4mHyQgbHge+A4vPNOae2IC+x2I3CoUn7DpTw9jS2a+/bBX/5SejkqKopNmzZx5syZ0mtq0iTa\nMwtTsZ2+Z/qSb82nQ3gHztSYSna2kf4B4Opah4CAfsTHf0rLkgTJAzk5DA0Kws1kYq7UdBB/MBI4\nCCGYFh9PYzc3el0oipCUBD/9VJpbEB0NMTEwYUIBGRk/VrqbIs9mY19OTukyxYWCT73r96ZlSEvj\nmk1j+cVCUWQRy5cv54033mDcuHHlikAdTNjPO5tM6LvvNhIVL3HyJGRlXWXgANCuHbz9Nrz7rlEO\nEhgyZAju7u7Mm1fm1MuBAyl2LMTmlkmHfR04mXGS5zo+x7bEH2nZO4ay5R/CwyeTmxtDUPFe3Ewm\nYnJz8XJ0ZEhQEN8kJpY7EEuIW50EDkLc5hILC1mSmsoTF86lAONAK5MJhg4FjKTI8HDo0OEHtC6s\nNHDYnZ2NVevSGYdt57axy7yLKZ2mlLbJicnBZrGxxrIGBwcHRo8eXaEfr+9X0izJjnr77UrHu3+/\n8d82ba7hTb/4Itx1F0RFQWoqnp6eDB06lNmzZ1/8knd1ZWu9MYQXrSQ8Opx4czxDmw6lpndNPHp/\nwLp1xvEdAH5+9+Dm1pBE83RaeHgQk5MDwLiQEI7l5/PrhcRLIf4AJHAQ4jb3VWIiTkoxLiTk4sWF\nC+HeeyEggNxcY9Vi4kTIzFyJm1sj3N0bVehne1YWng4OpfUMpu6YSuOAxvRt2Le0jWWzBZxh/k/z\nGTx4MP6XZjcWFdF/fjT7OtY18hsqceoUeHvDheMprorJBLNnG+W0H34YtGbs2LEcPXqUXbt2lTY7\n3HEidW0rMBWbaHmgJZmFmTzV/in2FM0DzyQWLjTaKWUiLOwJUlK+o71rATElZ1Xc5edHTRcXKUEt\n/lAkcBDiNma12/ncbOah4GB8L9RJOHsWtm4t3U2xeDFkZ8OECZq0tJWXPdRqm8VCBy8vHJQiLiOO\npbFLea7Tc5jUxV8zmZsziWsax9FjR5k0aVLF8SxeRK3UIo48M+qyY46LM3ZUXOaIi6oLD4evvoJl\ny+Dzz+nVqxdhYWHlkyRbt+aIqSYevufoeagnJ9JP8Gjkozg6ONJwxGfllitCQyeglCPdbMs5lJuL\n1W7HQSnGhISwMDmZQrv9GgcsxP8GCRyEuI2tSk/nXGHhxUqRAN9+C66uMHAgYCxT9O4NgYF7KSpK\nqDRwKC38VLJM8cnOT/Bx8WFsxNhybSybLaxmNXXr1qVXJfkLOYsXsCcUwrr0ueyYLwQO18XAgfDE\nEzBlCg5HjzJmzBgWLFhAUcmOi/Bw+NI+iVDLCjqcaM/J0yfxc/NjfKvxJNaaxu59BcTGGl05OfkR\nHDyKGtnzsGorx/LzAYgKCSHDamVlWtp1GrQQN1e1Agel1KtKqZ1KqSylVJJSaqlSqsKcpVLq70op\ns1IqTym1XinV8JL7LkqpT5VSqUqpbKXUYqVU8LW+GSFE9UyPj6ejlxdtvbwuXlywAPr1Ay8vYmON\nIx4efhjS0lbg4OCNj0+3Cv2czM8npbiYzt7eZBdmM2PvDB6LfAwPZ4/SNnlH8rCkWlhzdA0TJ07E\ndEltBmw23H78mVWNoEVwi8uO+boGDgD/+Q/Urw+jRhE1fDjp6emsXr0aMAKHBYwi0HEbTjZnsldn\nAxjHgtuScWu/oLQEtdF+MhTH05ntpXkOTT08aO/lJSWoxR9GdWccugMfAx2B3oAT8INSyu1CA6XU\nK8BTwKNAByAXWKeUci7TzwfAA8BQoAcQBpSpviKE+L2dyMtjXUZG+S2YR48ah0CULFN89RUEBBh/\nmKelrcTfvy8mk1OFvraXJP918vZm5t6Z5BXn8VSHp8q1yfw5k42mjeQV5jF+/PiKA9qxA5esXHZG\nBBDgHlDpmO12OH36OgcO7u5GsHT0KM3nzKFt27alyxVhYZCJH5bud+LidBDPdUYg1CigEf0a9cP1\nrqnMmau5sArh5RWJl1dHhqsVpXkOAONCQ1mTnk5yyUyGELeyagUOWuv7tdZztNZHtNYHgPFAbaDs\nxqhngTe11iu11geBKIzAYBCAUsobmAhM0Vr/rLXeC0wAuiqlOlzzOxJCVMlnZjP+jo4MDwq6eHHh\nQvDygvvuo6jIqM4cFQWQQHb27svnN2Rl0cTdHR8HEx/++iHDmw8n3Du8XBvLZgvr3NfRp08fatWq\nVbGT1auxeDljbX/5yk4JCUbdpusaOABERBjbMz/8kL+0a8fKlStJS0vjQhHNA+0nUqv4J2rur0lx\nRjEAz3V8jgznA5w1/cTWrRe7Cg+fTITeyTnLwdJrI4ODUcCCC9swhLiFXWuOgy+ggXQApVQ9IBQo\nPWpOa50F/Ap0LrnUDnC8pM1R4GyZNkKI31G+zcbMxEQm1qiBm0PJeRNaG395Dx4Mbm6sWAEpKTBp\nEqSnrwZM+PvfV2l/2y0Wunh7s/zocuIy48ptwTS61uz5cQ8Hcg5UmhQJwKpV/NTYmeahEZcdd1yc\n8d/rHjgAPP003Hcf/b//nkCbjW+//RY3N/Dzg2jvu3AJ2o+yK1L/a5w/0ateLyKCI3DrNbVckmRQ\n0HCKTH6E58wvvRbg5ES/gABZrhB/CFcdOChjw/cHwC9a68Mll0MxAolL9x4lldwDCAGKSgKKy7UR\nQvyOFqWkkGG18liNGhcv7t9vLFWUFH2aMQM6d4bmzY1lCm/vzjg7V9wDmW21ciA3l87e3kzdMZVu\ntbvRLqxduTb5J/NZlrKMAO8ABgwYUHFA58/D/v0sqpNDy+CWlx33hcChbt1qv+UrUwpmzcLk4MCK\ngADmlixXhIdDfIKJpOHt8FIxxM85W9Jc8Vyn58ivtYoF649yobK0g4MrRX4P0dW2irQCS2n3USEh\n7M3J4UBJ7oMQt6prmXGYBjQDRl6poRDif8u0+Hj6+PnR0N394sUFC4yEht69OXsW1q0zkiJttgLS\n09dfdpliZ3Y2dsAn/xRbzm6pMNsAkPJTCutZz5gxY3B2dq7YyZo1aJOJdQ2unBgZHAweHpdtcm2C\ng2HWLCJTUujw668cO3aM8HAwm4Fx4wjVm8j5OZfiNGO5YlTLUQS4BJPT7CNWrbrYTe3wJ/Agl4Px\nF7d23h8QQICjo9R0ELe8qwoclFKfAPcDPbXWCWVuJQIKY1ahrJCSexfaOJfkOlyuTaWmTJnCgAED\nyv0sWLDgat6CELet6OxsdmZnl9+CqbWR3/Dgg+DkxNdfG1/Ow4dDZuYm7Pbc36zf4OvoyLL9n1PX\nty4DGw+s0Gbp/KVYsPDI5EcqH9SqVSRFNMDiYaJZULPLjv2676ioTN++WJ9+mn8B6//9b8LCID4e\nakd042CdzWCHlKUpALg6uvJ0p8mY2s7iq/nppV009W3KLjqSl/xFaSVKZ5OJh0JCmJuUhFVqOojf\nyYIFCyp8T06ZUjGYvyZa62r9AJ8A54D6l7lvxkh8vPBvbyAfGFbm34XA4DJtGgN2oMNl+mwL6Ojo\naC2EuDaTjhzRtbZt01a7/eLFrVu1Bq03bdJWq9a1a2v9yCPGraNHn9TbttXR9rLty7hv/37dc8d6\n7fh3R/3+tvcrbdPJrZNuFdqq8gEVFGjt4aFXjO+iG33c6DfHfuedWo8ceaV3eB0UFOiz/v76uKOj\nfuPlbF2zpnH54THeei/v6X2dt5Y2TcpJ0o5vuGhTj3/q1NSLXYzc/oHeuBGdmbm99Noui0WzcaNe\nU7ahEL+z6OhojZFG0FZX8zu/sp/q1nGYBowGHgJylVIhJT+uZZp9ALyulOqvlGoJzAbOA8tKApUs\n4CvgfaVUT6VUJDAT2Kq13lmd8QghqiejuJj5yck8FhaGQ9nSiwsXGnsPu3VjwwajeKRRiflitUhV\nSalGe0nhJ1v8Utwc3ZjUtmLi4/Edx/k1/1eiBkdVPqjNmyE3l2UNrL+5TAE3aMYBwMWF5A8/JMxq\n5Z41D5GQYGwFPdGtOd4uW8jYUUhRirG1MtgjmGFNRmNv9zELvi0u7cLZuzdpKhyz+dPSa5FeXjRz\nd5flCnFLq+5SxeMYMwabMGYWLvwMv9BAa/0uRq2HzzF2U7gB92mty25gngKsBBaX6Wvo1bwBIUTV\nfZOYiFVrJoWWyUO2WmHRIhgxAhwcmDEDWraE9u0hN/cQhYVnCAzsX2l/R/PyyCzMYd/xBUxqMwlv\nl0tXIOHL/3yJCy6Me3lc5YNatQpq1mSZ86nfTIwsLjZyKH+XxMhKtB09mrcCAuhyYAUDbN+TnAx1\nQhqxu8Mh0HZSv7v45f9qz+fAO56PNiwuvRbh5c1/GUBy8iKKioylDaUUUaGhLE1NxWK13pg3IsR1\nVt06DiattUMlP7MvafeG1jpMa+2ute6jtT5xyf1CrfXTWutArbWX1nqY1lo2OAvxO9JaM91sZkhg\nIKEuLhdv/PyzcYz2qFEkJxtHN0yaZGwySEtbicnkgY/PnZX2uS0rC5J+ILfQwjMdn6lw3263M3/d\nfHr79iagbuVFnVi1ivx77iIlP/U3A4ezZ42/+m/IjAPGl7zzk0+y3MGRGTxM8p7zNPRvyKftUvBj\nD8mfHS1t2zKkJc3d7+Z44FSOHzdyGiI8PFiu+6BRJCbOLG07JiSEQrudxSkpN+aNCHGdyVkVQtwm\nfsrM5Fh+fvmkSDB2UzRoAO3aMWeOETCMGWPcSktbgb//PTg4uFbsENiWmYGLeSmDmgyinl/Fb/SN\nGzcSnxPPQz0fqnxQx4/DiRMc63QHcOUdFXDjAgeAsVFRTLBZyUMR9n9jucOnPpt9MgmofYrMAyYK\nEwtL2/697xQI38U/528DIMLTkyx8KPAZRHz8dLS2ARDu4kJvPz+p6SBuWRI4CHGbmBYfT3N3d7qX\nHEQFGMdKL1kCI0eiUcyYAUOGGLsyi4pSycraftndFADrT/1AYe7pSrdgAnzx6RfUoha9RlQ80Aow\nlimcnfmloTOujq409G9YeTuMwEEpqF27Sm/3umjQoAFNunRlLA0IOPgzXRcaJSKLooJQ2Emddaq0\n7aAW9+Fd1Jhvz0xFawhxdibYyYmDriMpLDxDWtqa0rbjQkPZYrFwquQgLCFuJRI4CHEbiC8sZFlq\nKk+Eh5dPcvzhB8jMhJEj2b4dYmONpEiA9PQ1gMbf//5K+8woLubcyXnUC2pF11pdK97PyGDZymXc\nz/343ulb+cBWr4aePdmbc5xmQc1wMDlc9j3ExUHNmlBZGYjf07hxUWwimh/bPUX4vz+nw3nYd29N\n/Igm+Zuzpe1MysT4ps+SW2spSzeeBoxZh63Whnh5tSuXJDkoMBBPBwfmSJKkuAVJ4CDEbeBLsxlX\nk4mxIZeUWFmwAFq0gBYtmDHDWAa46y7jVlraSry82uHiUqNih8CiuJ2QsZsnOzxT6Y6LefPmYbPZ\nGFBvAC41XCp2kJNj5Fc88AAHkg9ccUfFdT/cqoqGDRuGUo78RddCRUay8HsTJ3LPERR8BEusM4Xm\ni8sVbw6NQhX58Pd1HwNGnkNMTg5hYU+Snr6W/PyTAHg4ODAsKIjZiYmldR6EuFVI4CDEH1yx3c4X\nCQmMDQ3F29Hx4o3cXCMTcuRIsrLg22+NpEiTCez2YtLT1xIQUPluCoDPd32MyeX/2Tvv8KjKtA/f\nZyYzaZMy6QkkFCmKGASRJogiClIUFYGAgMrqrsrKqliw7Lrr2kDFsrYVLKAEEBCkiAIiRUJvoYj0\nNJLMTJKZSZmSmfP9cdImM5MEP4WEfe/rysXled9zTg6GnN885ffEMPXqCV5rsiwzZ84crtNdR/tB\n7X1fYP16cDhw3zqUw4WHGyyMhAvYilkPvV5PYuJtHDr2FSxYQFwZ9Hs9nZgbApAkF4altUWO4cGh\n9FL9mYPqOZisVlJ1Ok7ZbIRE3UVAQBS5uR/W7J0UH88pm42fzWZftxUImi1COAgElzjfmkycczh4\nqHrUYzWrVkF5OYwbx8KFYLNB9bRrs3krLpfFb32DoczAgVPf0KnDeAIDvKMJe/fu5cCBAwyxDCHy\n+gbSFJ06cSYmgDJnWbMVDgDdu0/Caj3AgdJS5v+5D/1/OokmxIWe3RSmexY5vnTbI8gB5Tyz6FNS\nq7yxj9jcJCbeT37+p7hcSl3D9ZGRtAkM5AuRrhC0MIRwEAgucT7IzeW68HBSdTrPhYULFbOGyy5j\nzhwYNkwZ6ARKN4VWm4RO1933NXd/iBuJ0an3+1yfO3cu8fp4etHLd32DLCvCYfhwMgsygYY7KsrL\nlY7RiyUc+vQZiiTFMH/+fApG3czS7kHw9dckyquxZJRiy7HV7L25d2si8+4m/fQ7dAoKRA0cLCsj\nKekvVFaWUFi4EABVlafD4sJCKlyui/NgAsFvQAgHgeAS5mhZGT+WlHi3YJaUKC/utDQOHIBdu2qL\nIoEqt8jhPmsX7JV23tv5PsQPYXBcG6/1iooKFixYwB0d7iAkJYSgNj5aOQ8cUAZADBtGZmEm+iA9\nSWFJ3vuqOHNG+fNiCYeUFA2yPJ4vv/yKdhHtuX+IDXdMNDHSdiSVE8MST0+GSR0fo0x7mm8OrOby\nkBAOlpYSHHwZUVFDycv7oGbfxPh4LC4XK4zGC/1IAsFvRggHgeAS5qO8PGI1Gu6KjfVcWL5csWIc\nM0TziRkAACAASURBVIa5cyEhQYk4AJSX/0pFxXG/aYqFhxZiKi9E1foueoaFea0vXboUs9nMLeW3\nNNxNodPBgAEcKjzEVfFX+RQp1VwMD4e6KLprEgUF+RQdLsISBCf+8y8kuZLLQ/6DYZGncHh64rWQ\ndR3/WjebVJ2Og2VlACQlPYzVuhuLRXHX7xgSQr/wcGFBLWhRCOEgEFyilLlcfJGfz5TERAJV9f6p\np6fD9ddTEdWK+fOV2gaNRllS3CKD0OsHe11TlmVmb59Nq8Tr6R7XhVC1d/vk3LlzGThgIPqjeiKu\nj/BaBxT/hsGDITCQzMLMJtU3aLXKOI2LgXLfHrRt24UtK7cAcKBdCPTvT1zpSqTtW7GdtXnsTy1/\njOOOLURXnOJgaSmyLBMdfSuBgW3Iza2NOkxKSOD7oiLO2e0IBC0BIRwEgkuU9IICLC4Xf06s105Z\nWAgbNkBaGt98o2Qt7q9TqmAyrSIychBqdYjXNTed3cSBggPIre6ib4S3KDh58iQ//fQTY3uPBTe+\nCyNNJti+HYYPx15p55jxWJOGW7Vpo3R8XAyUiINE376T+G7Vd0QQwYmiEzBtGiBxBS9jnHfc45zH\nho6C4rbs2T8fi8tFlt2OJKlp1eohCgsX4nAo6YkxsbFoJImvRNRB0EIQwkEguASRZZkP8vIYHh1N\n2+Bgz8UlSxQLxrvuYs4cuOEG6Kg4PuN0lmA2b/Gbppi9fTZXxF5JXshV9Av3Hmj16aefEhERwUB5\nINoELcEdg70v8v33ytCJYcM4ZjqGS3Y1644KgPBwJbPSocMEbDYb+tN6RTj064eEG426jJDZTyhF\nn1WMvkuNZt+j7MhZBnYjB0tLAUhIuB+Qyc//DAC9RsNtMTF8UVAgPB0ELQIhHASCS5CdViv7Sku9\nWzBBSVPcfDMnSmLYuNGzKLK4+HtkuZLo6OFep50oOsHKYyu5qeufQJLoW084VFZW8vnnnzN+/Hhs\n22xEXB/hu25h9Wq4+mpISmpSRwVcfOEASvqhrKw1gwYNonx3OSeKTygHU1KwdruTqOJ1OGb9t2a/\nTgd3tJkCzmACz33LgSrhoNXGEhc3lry8D5FlN6BYUB8qK2N/1R6BoDkjhINAcAnyQW4u7YKCGBIV\n5bmQnQ1bt8K4cXz6KURGKrMpqjGZVhEamkpQkPdAiHe2v0NMSAxBiUNI1GppE+TZLfH999+Tl5fH\nvRPuxbrL6rsw0uWCtWthuCJMMgszSQ5PJiLITy1EFc1BOLRqpTSCTJo0icLDhfxy4hdloW9fdIG5\n5KuHEfDC4/DrrzXn3Dc+HPfuKVRmf8tec23nRFLSw9hspykqWgvALXo9cRqNKJIUtAiEcBAILjFM\nTieLCgv5S1IS6vqf+BctgsBAKkeM4rPPlCmY1ZkMWXZhMq3xmaYosZXw2f7PeKjnQ+wstdE3PNwr\nmjB37ly6detGB1sH5ErZd2Hkjh1QVFQjHKo7KhqiuBjM5uYhHPLy4M4770QbpKUwo5AyRxn06UPA\nvm0Yb3oehzoGxo8HhwNQ6j+jT/4Vl8vCtl+X1FwrPLw3Ol2PmiJJjUrFhPh4vioowOl2X5TnEwia\nihAOAsElxmfnziED9yUkeC8uXAjDh7Nmazj5+Z5pCotlO5WVRT5tpj/Z8wlOt5MHrvkLu6xW+tUr\njCwoKGDlypVMmTIF82YzAdEBhHYJ9b7/6tXK6M1evQCa3FEBF184JCUpEQedTsegYYPgAJwsOgl9\n+oDNRtQ1cMj+LPLBg/DCCwAEBMCkke0JOHU7BafTKa10AiBJEq1aPUxR0RoqKpQHnJyQgMHp5Pui\noov2jAJBUxDCQSC4hHDLMh/m5TEmLo7Y+mMkjx+HPXsgLY05c+Caa6Bbt9plk2kVGk0s4eHXepxW\n6a7kvZ3vMf6q8eQTSoXb7VXfMG/ePNRqNRMmTMC82UzkgEgklY/6hjVrYOhQUKsx28xkmbOaVN8A\nF184VKcqZBnuv+9+MMF3P30H3buDVkt0yAFK3Z0pHf0MzJypzOJAiepUbnocKrKYe/jbmuvFxaUR\nEBBBXt5HAHTT6UgNDRUW1IJmjxAOAsElxHdFRZyy2XwXRS5cCDoded2Hs3q1Z7QBwGhcSVTUMCTJ\n05th2dFlZFuy+Vvvv5FhsaCVJHrUsa+WZZm5c+dyxx13EBkaiWW7xXeaIjcX9u/3SFMATYo46HRK\noOJikpQEdruSOrlj6B1I4RIrFq+AwEDo3p3AX7ai66Ej2z0GbroJJk0Co5Hu3aGz7jqwpvLJ7vdq\nrqdWh5CQcB/nzs3F5VI8ICYnJPCt0Uix03mxHlMgaBQhHASCS4hZWVn0Dgvzigggy0o3xahRfLE4\nmMBASEurXa6oOE15+WGf9Q2zt8/mxrY30i2hGxkWCz3CwgiqY/y0bds2jh07xpQpU7DssuC2uX0X\nRq5ZoxgxDBkCKMJBLam5PObyBp+pujCyAWPJC0K1a3duLgQEBBDbN5a96/ficDiUdMX27USPiMa0\nthj33M+VOocpU5CQmXyPCjZO53DOJg4XHq65ZlLSQ1RWmjAYFgMwPi4OlyyzqLDwIjyhQNA0hHAQ\nCC4RdlosbDKbeSolxbsNMjMTjh7FPTaNuXNhzBioW6ZgMq1GkgKIirrF47TtOdvZnrOdx/o8BsA2\ns9nLv2Hu3Lm0bduWQYMGYd5sRh2uRtet3kAtUIRD375Q1emRWZhJp+hOPqdr1qU5dFRArXDIy1P+\nvPqWq7Fb7aypfq6TJ4nur8ZldmE+FQqffgrffgsffcSECcCBsQQQz9vb3665ZkhIR/T6W8jNfR+A\nhMBAhkRFiXSFoFkjhINAcIkwKzubDsHB3B4T472Yng5RUWzWDubkSe80hcm0ioiIgQQEeIqC2dtn\n0zGqI8M7DSfPbues3e4RzbBarSxevJj7778flUpFyaYSIvpHIKnrCRe7Hdatqx2IQVVhZCMdFaAI\nh7ZtG932h1Nda5qbq/zZs1tPNK01zJs3T4k4AGHlB9AmajGtMsFtt8HDD8Pjj5NiOUTba124jz7I\n/IPzMZTVzrZo1ephrNadWCy7AcWCervFwq/l5Rf0+QSCpiKEg0BwCXCyooJlBgNPtG7t3YIpy0p9\nw+jRzJmnpXNnuO662uXKSislJRu90hRZ5iyWHlnKtN7TUEkqMiwWAI+OikWLFlFeXs69996Lu9KN\n+Wezb5vpLVugrKymvkGWZaUVs5H6BllWJmM2h4iDVgtxcbXCoUNUB5xdnaxatQpTaCgkJCDtrEpX\nrDQpm954A9q3h7Q0Rt1hxb3yUUDFR7s/qrludPQIAgNTaqZm3hYdTYRazbz8/Av8hAJB0xDCQSC4\nBHgrO5tojYbJvlowd+yAM2ewjRrH8uUwcaJnvUBR0Rpk2UFMzCiP097b8R5hgWFMvnoyABlmMymB\ngSQF1qYW5s6dy5AhQ0hOTqZ0bynuMrfvwsjVq5VYf2oqAOdKz1FUUdSocMjPB5uteQgHqPVyAEU4\n0BXcbjeLFi+urXMYGU3F8QrKj5UrJhnp6XD8OM/++iJU6mlbmcb7u97HXqkMtZIkNUlJf6awMB2n\ns4hgtZoxcXHMLyjALSyoBc0QIRwEghaO0eHgs/x8prZqRbCPaZWkp0NiIt+WXE9ZGYwb57lsMCxD\np+tBcHDbmmOljlI+2fsJD/Z4EJ1WqVfYZrF4pCmOHDnC9u3bmTJlCgAlm0tQhagIu8Z71DarVytp\niirFcj5W09B8hEO1lwNUCQcd9BjQozZdsXMn+hvCUQWpMK6scopMTYVZs4id+yEjOy/CtGYaBWUF\nLDy0sOa6iYl/QpZdNfMrJickkGW3s6mk5EI/okDQKEI4CAQtnPerPgI/7KsF0+WCxYthzBjSF6vp\n1Qsuu6zusg2TaTWxsXd6nPbZvs8odZQytddUAOxuN3vqGT/NnTuXmJgYbrvtNgDMm82E9w1Hpa33\na+X4ceVreO38i0OFhwjVhNJO37AiOHNG+bO5CIdqLweABF0CIZoQrhh8BTt27OBYq1ZQWor6zDH0\ng/W16QqAqVNh2DA+PzWVgF2xXBd/K7O3z64ZaqXVxhEbeze5ucr8in7h4VwWFCQsqAXNEiEcBIIW\nTLnLxX9yc5mSmEhMfcMngE2bID8f64g01qzxbMEEKC7+Abe7jJiYWuHglt28s+MdRncZTXJEMgB7\nrVYcslwTcXA4HMybN4+JEyei1WqRXTLmLWb/bZhareJtUEVmYSZXxl2JSmr4V9Dp04p/Q5iPIMbF\noG6qQpIkOkR1QHuFloiICOYfPAhqdU26wvyzGWeRs3ozfPYZ6iA1XwRMJun0NA4UHGDT2U11rv0I\nNttJiop+QJIkJiUksMRgoMzlughPKhD4RwgHgaAF83l+PkVOJ4+3bu17w8KF0K4dS7J64XQqbZh1\nMRiWERJyBaGhV9QcW/XrKk4Wn6xpwQTIsFgIVqm4usr46dtvv8VoNNakKcoOlVFZUum7MHL1ahg4\nUHFxqiKzMJOusQ2nKaD5tGJWk5QEBQVQ7c/UIaoDZ8rOMHbsWOYvWoT7qqsgI4Po4dHggqLv6thH\nx8Wx5Z23uaVyHR0+Pk7X2K7M3j67Zjk8vC+hod1qiiQnxsdT6nLxjcGAQNCcEMJBIGihuGSZt7Kz\nGR0bS7vqSVV1cThgyRIYN470hRI33KC8+Kpxu52YTN96RBtAacHs27ovvVv3rjm2zWymZ1gYGpXy\nK2Pu3Ln07t2bK6+8EoCSTSVIWomwXvVCA6WlStSjTprC5XZxxHCkya2YzUk4tGqldHpUNzx0jOrI\niaITTJw4kaysLDanpMD27QS2CkTXQ1db51CFfsQI5va9jcfM/2SE5i+sPLaSE0UngOr5FY9gMq2i\nouIM7YKDuT4iQng6CJodQjgIBC2UbwwGTtpsPJmc7HvDunVQXIzpljQ2bPBOU5SUbKKystijvmFP\n3h5+OvOTR7RBlmUyLJYa46fs7Gy+//77mmgDKIWR4b3DUQfXK87csEERMHX8G04Wn8RWaWu0owKa\nn3CoFl51OyuyzFn07N2Tdu3aMb+kBI4ehZISokdGU7S2CLezdtpl19BQXpw2gTDJSs/384kOiead\n7e/UrMfHj0etDufcuY8BpUhyQ3Ex2TbbBXtGgaAxhHAQCFogsiwzKzubGyIj6VnfXrqa9HTo0oX0\nzK6oVHCnZ2ABo3EZgYFt0Om611zzmQ3P0Dm6M3dccUfNviy7nTyHg75VhZGff/45wcHBjB07tuY8\n82az/zbMjh2Vryqa2lFRWQlZWc1LONS1nQZFOLhlN2fNZ5k0aRJf79lDOcDOncSMjFFcJLeaa86P\nCAggoE0K33T/E7cceJtHUybx2f7PKLEp3RNqdSgJCfdy7twc3G47o2NjCVKp+EpEHQTNCCEcBIIW\nyBazmZ1Wq/9oQ3k5rFgBaWmkL5QYMsRzSJQsuzEavyE29s4ae+rvT37P+lPreX3w6wSoAmr2ZpiV\nF1/f8HDcbjeffvopY8aMIbxKsJT/Uo7T4PQujJRlpTCyTpoClI6K2JBY4nXxDT5jTo7SFNKchEN0\ntFLn6dGSCTXpCmtZGStCQ2H7dnQ9dGiTtJ7dFUBqaChfTp+AGxUjP7XidDv5ZM8nNeutWj2E02mk\nsPBrwgMCuCMmhi8KCmo6MASCi40QDgJBC2RWdjZdQ0O5tWrugxerV0NpKbkDxrFtm3eawmLJwOHI\nJzb2LkCpO3hy3ZMMSBnAbZ1v89i7zWLhsqAg4rRaNm7cyJkzZ/hTHc9q82YzqCG8b73Ix8GDyhu2\nTpoCzs9qGpqXcJAkJV1RnapICksiKCCIE0UnuOyyy7juuuuYFxICGRlIklTjIln3pZ+q07G3jczi\nlCe5ct0XTI0byXs736PSXQlASEhnIiNvqimSnJSQwC/l5ey2Wi/48woEvhDCQSBoYRwpK2OVycT0\n5GTvYVbVLFwIPXvy5fYOBAfD7bd7LhsMy9BqEwgP7wvAFwe+4FDhId645Q2va2ZYLDX+DXPnzqVz\n587069evZr1kUwlhPcMI0AV4nMeaNRAaCtdf73H4fDoqJAnatGl06wWlrpeDSlJxmf6ymgLHSZMm\n8YPRyLmMDHC7FRfJE1UuklWkhoaS73BQPm0qRXIkT3znJNuSzdIjS2v2JCRMrhJ3hQzW60nSavlC\nWFALmglCOAgELYw3srNppdWSFhfne4PZrEQcxo0jPR1GjvTohESWZYzGZcTEjEKSVJQ5ynhh4wuM\n6zqOXq16eVyq3OVif2kpfcPDKS4uZtmyZUyZMqVGXMiyTMnmEv9tmDffDHUsqiucFZwoOtHkiENS\nksfpzYK6Xg6gpCuOFx0H4O6770YTEMACsxmOH0c/SI8qSOWRrkit+p+RMgpeVb9AwopV3Kfpxds7\naqdm6vWDASgu/hG1JHFPfDzphYU43LWFlgLBxUIIB4GgBZFnt/NlQQHTWrdGq/Lzz3f5crDbOd5j\nLAcOeKcpSkv3YbOdqWnDfCvjLYzlRl4Z9IrXpXZbrVTKMv0iIvjqq69wuVxMmjSpZt122oYj1+Fd\nGGkyQUaGV5riqPEobtndIjsqqqlrOw2KcKiOOOj1em4bPpx5ANu3ow5Re7lIdggOJkil4ozGSt6I\nBzmnSeHljaqaEeYAgYGJhIRcSXHxekBJVxRVVrLa5FkvIRBcDIRwEAhaEO/m5BCkUvGgL3vpahYu\nhAEDmL+xNRERcOutnssGwzICAvRERt5AQWkBM7fNZOq1U33aP2dYLOjUaq4MCWHOnDmMGDGC+Pja\nosaSTSUgQUT/esLhhx/A7faub6jqqLgy7spGn7W5Coe6qQpQvBzOlJzB6VJcoSZNmcJB4MCqVQBe\nLpJqSaJraCgHy8pIm6zlacdLJK7fzmhzaw9DKL1+MMXF65BlmStDQ7lGpxMW1IJmgRAOAkELwVpZ\nyUd5efw5KYmIgADfmwwGWLcOeVwa6elKC2b9UL/RuIzo6NtQqTS8+NOLBKgCeO7653xebpvZTO+w\nMA7s28eBAwc8vBtAKYzUddOhidR4nrh6NVx9dW3/YhWZhZm0i2xXMzirIZqzcLBalS9QIg4u2cVZ\n81kAhgwZQmxQEPM2KXbS0SOiwe3pIpkaGsrB0lKGDYO1kWmci72KtzcFsfTwErLMWYAiHOz2LCoq\nTgJK1GG1yYTR4biATysQeCOEg0DQQvjk3DnK3W6m1XsZe7BUKbA70HE0J054pynKyo5SXn6U2Ng7\n+cX4C5/s/YTnBzxPVLB3d0a18VPfiAjmzp1LYmIiQ4cO9dhTsqmEiIH1og0uF6xd6xVtAKUVsyn1\nDRUVcO5c8xQOvkyggJp0hUajIe2661hgMFBZUkJgUiC6azxdJFN1Og6XlaHWuBk9Vs2z8iu02nuC\n27OCeW/HewBERg4E1DXpirS4OGQgvbDwgjynQOAPIRwEghaA0+1mdk4O4+PiaB0U5H9jejoMHsz8\ntbHExcGNN3ouG43foFKFotffzNPrnyY5IrlmAmZ9TlZUYHA6uUajYcGCBdx7770E1Il02LJt2E7b\nvAsjd+5Uahzq+TdAVStmE+obziof3pulcKhvAtU6vDVatbZGOABMeuAB8oH1//0vADEjYzxcJFND\nQ7HLMscrKpg4ET43Dsfc9Tre3RzKnN3/pdRRSkBAGOHhfWqEQ6xWy7CoKJGuEFx0hHAQCFoACwsL\nybHbme7P8AkUx6QtW3CPTWPRImWgVf2MhsGwlOjoYfycs4tvj33LK4NeITDAd9tChsUCQMH69ZjN\nZu6//36PdfMWxRgqYkC9iMPq1RAVBb17exwuqigiz5rXqGMkNE8Ph2rqRxzUKjXt9e09hEOPu+6i\ni0rFvAULAKXOwWV21fydXRUaCsDBsjL69YN27SQ+SHmNVicKGbrfymf7PgOUdEVJyY/IsjIhc3JC\nArutVo6UlV2IRxUIfCKEg0DQzKm2l741KoquugZqAxYvBq2WbXGjyM31TlNUVJyhtHQv0TF3MP2H\n6fRM6snYrmP9Xm6bxcIVISEs/OILBg4cSIcOHTzWSzaVENIlBG1svXHea9bA0KHKiOk6HCo8BNDk\njgqNxqtEolkQEgKRkf47KwCkgAAmtWvHN5mZWCwWdN09XSRjtFqStFoOlpYiSXDPPfDa1v64hg7n\nrS2hvL/tbdyyG71+MJWVxVitewEYHh2NPiCAecLTQXAROW/hIEnSAEmSvpUkKVeSJLckSbfVW/+s\n6njdrzX19gRKkvS+JElGSZKskiQtkSTJT1O6QPC/zQ/FxWSWlfm3l65m4UIYNowvV0bQpg307eu5\nbDR+gyRp2ZBvY1feLt64+Q1Ukv9fARlmM1eWlPDTTz95FUWCUhjplabIy4N9+3ynKQoy0ag0dIru\n1PBzoAiHlBQv7dFsqN9Z0UFf6+VQzYRhw7C73Sz5+usaF0njSmONi2SqTsfBqsjBPfeAxQLrB71C\nQkEZA388xapfVxEe3hu1WleTrghUqUiLi2N+QQEuYUEtuEj8lohDKLAfeBjw95P7HRAPJFR91fvs\nw9vAcOAu4HogCViKQCDwYlZWFtfodNwQ6cNkqZoTJ2DXLipHj6uepE19U0mjcRm6iJt4/qd/MbLT\nSAa2Hej3ctbKSjLLyihftYqIiAjuuusuj3VHgYPyX8q9CyPXrAGVCoYM8bpmZmEml8dcjkat8Vqr\nT3PtqKimru00QMfojpwuPl1jGw3QesgQbgLmfaLMoYgeGY3tpK3GRbK6swKgUyfo1Qv+szkVafx4\n/r1Fwweb3kCl0hARMbBGOICSrshzOPixuPiPf1CBwAfnLRxkWV4ry/LfZVleAfjxu8Uuy7JBluXC\nqq+a8XCSJIUD9wOPybK8SZblfcB9wHWSJPXycz2B4H+SvVYrG0pKeColxb+9NMCiRRAayobgEZhM\n3mkKuz0fs/lnVhaEk23O5vXBrzd4351WK26Xi91LljB+/HhCQkI81ku2KNMcvSIOa9ZAnz6eE7Wq\naGpHBSjCoW3bJm29KHhFHKI64HQ7yTZn1x7s3ZtJwKYdOzhz5gz6m/SogmtdJFN1OrLsdkqcir/D\nxIlKM4pp2r+ILnPT7est7M/fj14/GLN5Ky6XIjiuDQujc3CwsKAWXDT+qBqHGyRJKpAk6RdJkj6Q\nJKlur9c1QACwofqALMvHgCygXnBVIPjfZlZ2Nu2CgrgzJqbhjenpcPvtfPVNCJdfDqmpnstG43Ks\nTol393/PAz0e4IrYKxq83DazmdA9eyg8d85vmiK4QzCBSXUKK+12WLfOZ5pClmVFODShvgHgzJnm\nHXHwJRwAjzoHYmK4o317dBoNH374IepgTxfJ1KoCycyqdEXVlHLSd7SHBx/k2Z8lPl7/Gnr9YGTZ\ngdn8MwCSJDE5IYFlRiPWytoIh0BwofgjhMN3wCRgEPAUMBBYI9V+XEoAHLIsW+qdV1C1JhAIgDMV\nFXxdWMjjrVsT4M9eGiAzEw4fxn5nGt98o0QbfKUpvi5ojdNdyYs3vNjovTMsFnTff0+3bt3o0aOH\n13rJphJvm+ktW6C01Kd/Q7YlG7Pd3KSOCosFioqat3BISlJ8JqpHR6REpBCgCvAUDoCuXz8eiYnh\ngw8+wGQy1bpImpxcHhKCRpI4UJWuiI1Vakq//BJUf/8HwWho99+vsbij0GoTPNIV98THY3O7WWIw\nXLBnFgiq8WM/99uRZXlxnf88LElSJnASuAHY+P+59mOPPUZEhOcvq7S0NNLqx2UFgkuA2Tk5RAQE\ncF9iYsMbFy4EvZ5VjlsoLfVOUzidRRw99yOLTks8f/3fidfF+75OFW5Z5uczZyjdvJnn3nrLK0Xi\nLHJSlllG8uP1ijXXrFE+infr5nXN8+2ogOYtHFq1gspKxagzPh4CVAG0i2znJRzo04fHFy7kXY2G\nt99+m+cfeh7cYPrORMI9CXQJCakpkAQlXTF2LPxqjidl2qNMffMN/rN2JiOvGuwhHJKDghgUGckX\n+fmN/3wI/qdIT08nPT3d45jZbPaz+7fxuwuH+siyfFqSJCPQAUU45ANaSZLC60Ud4qvW/DJ79myf\nn34EgkuNIqeTOefO8URyMqENtRbIsiIc7rqLBUu0XHMNdOzoucVkWsUnp1xEh8TzeN/HG733sfJy\nLGvWoFGrmTBhgte6easZZLwLI1evVqINPmoxMgsyCdOGkRKR0uj9W4pwAKVAsnp0R4eoDpworicc\n+vYlrrKSh0aP5t133+WJJ55Ad40O00pFOKTqdDUFkqBMMg0PV6IO/3rmecre/w+xsz8m6Ot3KSj4\nCofDiFarpK0mJSQw+ZdfOFNRQdvg4Avx2IIWgK8P03v37uWaa6753e7xh/s4SJLUGogGzlUd2gNU\nAjfV2dMZSAEy/ujvRyBoCXyYl4cbmNqYkcGuXXDqFKUj01i92jvaALDx2Bx+NMBLN75MqDa00Xv/\nbDbDmjXcNmoUUVHeVtQlm0sITA4kqE0dB8sTJ+DXX32mKUDpqOga17XhAs8qTp9WvBL8TQ1vDlSb\nQDXk5QDAVVdBcDDTO3fGbrfz3nvv1bpIOtykhoaSWVaGu6q1MjgYRo9WhIMcHkHFk39j4g4bGRnH\nAZmSktqg7Z0xMYSqVMwXTpKCC8xv8XEIlSSpmyRJV1cdal/138lVazMlSeotSVIbSZJuApYDvwLf\nA1RFGeYCb0mSdIMkSdcAnwI/y7K88/d5LIGg5WJzuXg3J4d7ExKI02ob3pyeDgkJLDMNxOGoLbCr\nxum08vq+rXTWJ3Dv1fc26f4rfvoJsrP5y5/+5HPdvNlM5MBITxGwZo3i2DR4sM9zzqcwsrqjogka\n46IRH694TNQXDieLTuKW3bUHNRro2ZPEI0d44IEHePvtt9EO0uKyuDBvNZOq01HudnOqoqLmlIkT\nlb+DbdsgZvrfKdEHEfn6xwQHd/ZIV+gCArgrNpZ5BQU13hACwYXgt0QcegL7UCIHMvAmsBf4ajV2\nkAAAIABJREFUJ+ACUoEVwDHgE2AXcL0sy84613gMWAUsAX4C8lA8HQSC/3nmFRRgcDp5vHXrhje6\nXFR7Sy9YpGbAAKh/Svref3PALPPaTS+jVjXNTWlLejphrVoxaNAgr7VKayXWvVbvwsjVq2HgQPDh\nbOl0OTlqPHperZjNOU0BimhISKjn5RDVEbvLTo4lx3Nznz6wfTtPPfUUVquVeT/PQ9tKcZFMrWM9\nXc3110NyMsyfDwQHY3rqrwzbYyE/07NAEhRPhxMVFTX24ALBheC3+DhskmVZJcuyut7X/bIs22RZ\nHirLcoIsy0GyLLeXZfkhWZYN9a5hl2X5r7Isx8iyHCbL8t2yLIuRb4L/edyyzJvZ2dwRE0PHet4J\nXmzZAufOUTxkHOvXe6cpKt2V/PPnj7g2WsftXe5r0v2zioowr1/P4PHjUfno5LBss4Crnn9DWRn8\n9JPPNkyA40XHcbgc5xVxaO7CAZR0RaMtmaAIh+xsklUq7rvvPt566y2ChwRjXGkkTqMhVqPxqHNQ\nqWDCBMVB3G6HTo+/zOn4QBLf2YfNdoqKilM1e2+IjCQ5MFBYUAsuKGJWhUDQjPjWaOTXiorG7aVB\nKYps04b0032QJCU3Xpf/7v6Q01YL/+g7sUm1BQBvzpsHdjt/85OmKNlUgiZeQ3CnOsV4GzaAw+FX\nOFR3VDSlFVOWW45wqO/l0CayDWpJ7Vs4AOzYwYwZMyguLmaVtArbSRsVxyoUB8l6Q6smToTiYiUD\nJGk0nH3yAXodsmDLgOLiGgscVJLExPh4FhkM2FyuP+pRBQIPhHAQCJoRs7Kz6R8RQZ96bcdeOJ1U\ne0unL5S4+Wao6xFltVt58ae/c3M83HD5I02+/9J589D06sWA+q0ZVZRsLiHy+nr1DatXQ4cO3u0c\nVWQWZJKoSyQ6xNtNsj4GA5SXtwzhUN92WqvW0iayjbdwSEpSBm9s307btm2ZOHEiH6z6AGeQU0lX\n1OusAOjSBbp3r0pXAP2mvcH+1gG0n6uhuGidx95JCQmUVFbyrcn0RzymQOCFEA4CQTNhm9nMNoul\nadGG9evBZOLcDWls3eqdppi1bRYWh5VHLm9PSEiXJt3/yJEj5O7bR+rdd/uMULgqXFh3WokcWCdN\nIcvKx2I/0QZQOirOp74BWoZwqB9xAD+dFaBEHTKUprFnn32WQkMhGzturKlzOGmzUVrPBXLiREWT\nFRWBNiCQXX+9i04nnbi//Q65TgFm55AQeoeFiXSF4IIhhINA0EyYlZ3N5SEhjPAx58GL9HS4/HK+\nPJhKUBCMGlW7lGfN482MNxndWkPXlLFNTlN8MmcOREQw6rbbfK5btluQnbJnYWRmJuTkNCocusY2\nnqaAliccTCaw2WqPddA3IBx27wankw4dOpCWlsbnOZ9j+NlAV7vS1nqoXroiLU0xmVqwoOoSk59j\nXXtI+LCUUvMej72TExJYW1REgcPxuz6jQOALIRwEgmbAsfJyVhiNTE9ORtXYi76igmpv6fSFEiNG\nQFhY7fLfN/6dYLWGca1txMTc2aT7OxwOvpg3D26+mQGxsT73mDebCYgKIPTKOl4Qq1dDaKjSCuCD\nMkcZp4pPnVfEQa+HxjI1zYFqL4dz52qPVUccvNoj+/RRFMbBgwA899xz5Jfk8738PfGbbajAq84h\nIUGpW3nzTSUzdVX8VXw6uj2xOeD49A2PvWPj4lBLEguEp4PgAiCEg0DQDHgzO5t4rZZ74hu2gwaU\n1EBpKad6jWPfPs80RWZBJp/t/4yHrkwlOjSZsLCmucUtX76cYpMJ1bBhXFtXhdShZFMJEQMikFT1\n/BsGD4bAQJ/nHDYcBppmNQ0tpzASat0j66YrOkZ3pKKygjxrnufm7t0VT4ft2wG44oorGD16NAu1\nCzGtLKBzSIhXnQPAc88pA7+qow5Xj3yQZVeCbtYKpeWiiiiNhpHR0WJipuCCIISDQHCRKXA4mJef\nz6OtWhHY0DCratLToUcP5m3vRFiYp1njU+ufor2+PYMjjxMTc2eT0hSyLDNz5kzie/Wi+1VXEeLD\n4trtcGPJsHi2YRYVKS5FDaUpCjKRkBqdxllNSxcOflsyg4IU8VAlHACef/558hx5LFq1iKu1IV4R\nB1CmnI4cCa++qth2pF2VxowbIaDQjvuD9zz2TkpI4EBZWc3QLIHgj0IIB4HgIvNeTg4BksRfqmPf\nDWGxwOrVyOPSSE+HO+5Q3kkA60+tZ+2JtbzQ9z7kynxiY5vmqbZ+/Xr27NmDesIE+vnJEVh3W3Hb\n3J6FkT/8oIyHvPVWv9c+VHiIDlEdCNE04klRRUsSDuHhijV23c6KdpHtkJB81zn07eshHFJTUxlx\n4wjm2+bTJxMOlpb6dIB87jk4dgyWLlWmcMZefQ0rewMv/xus1pp9t0ZFEavRiCJJwR+OEA4CwUWk\ntLKSD/LyeCApCb1G0/gJK1aAzcahLmP49dfaNIVbdvPkuifpl9yPfpFFaDRxRET0a9L38Oqrr5La\nvTt5V11F3/Bwn3tKNpWgDlMT2q1OfcO6dXDlld52lXU4n44KlwuyslqOcJAk786KwIBAUiJS/BdI\nnjih9JxW8Y+Z/yCXXPI+W4XZ5SK7Tvqhmt69lWzQyy8rTSwTu/2JR/sA1lJ4662afRqVivFxcXxV\nUECl2+11HYHg90IIB4HgIvJpfj6Wykoea8xeupqFC6F/f+ZvSiEmBm6qGhX35cEv2Z+/n5mDZ2I0\nfkNMzCgkqXGL6R07drBx40aGTp0KkuRXOJg3m4noH4EqoOpXhiwrxk833eRzfzXn01GRm6sUAbYU\n4QCKcMirV87gc0omeBhBVdOzZ08Gpgxk4daPweX2WecA8PzzSl3lqlVw95VjOBepYvOQEHjjDQ8h\nMikhgQKnkx+Ki//fzyYQ+EMIB4HgIlHpdvNWdjbj4uJICQpq/ASTCX74AffYcSxcCHffrdTbVTgr\neP7H57nrirtI1Ydis50iNrZp3RSvvfYanTp1ggEDSNRqaePj+3BXujFvNXu2YZ46BWfPNigcCssK\nKSwrvCQ9HKqpbzsNDXg5tGmjTMeqk64AmPHoDM46z5C8fCsHfNQ5gNK0ct11StRBHxTFTSmpzLjW\niqyS4JVXavZ11+noGhoqiiQFfyhCOAgEF4mvDQbO2u08mZLStBMWLwa3m11t7iY7uzZN8c6OdzhX\neo5Xb3oVo3EZAQGRREbe2Ojljhw5wvLly3n66afZXlpK3/Bwn8WUpftLcZW6PAsjN2xQhioMHOj3\n+tVW0+fTUQHKZMyWQkMmUF71CpJUM/CqLoMfHkxPVU/sC+dzwM+wKklSog47dih/9ROvfpDtbsiZ\nMhA++EARcYAkSUyKj2eF0UiJ0+nzWgLB/xchHASCi4Asy8zKzuZmvZ5uPiZKelFWpnzcvPNO5q2N\no3Vr5ROooczAq1tf5eGeD9MxuiMGwzKio0eiUjUyjht4/fXXad26NWPHj2eX1eq3MNK82YwqWEVY\nzzptmhs2wLXXNmi4kFmQSaA6sKbToDFOn4bExNpiz5ZAdaqirkboENWBUkcphWU+5vb17Qs7dyoF\nHVWog9U80vcRCo0n2LZ2rd97DRkC11xT9WNw5b2EqFW83SNXMb548cWafRPi43HKMosNBr/XEgj+\nPwjhIBBcBH4sKWFfaWnT7KUBXnsNjEYqX5nJ11/DuHHKB/6XNr8EwAsDX6C8/Bjl5YebZPp09uxZ\nFixYwBNPPMFRh4MKt7vBwsjwvuGotFW/Ltxu+PHHRusbDhUeoktslyaP8z5zpmVFG0BJVVRUQElJ\n7bGOUcrMjuNFx71P6NNH6YQ4csTj8C333kI3upH/0SeU17OerkaSlA6Ln36CPTuCGZrSkcXnDiE/\n/zzMmweHFc+MpMBAbtbrRXeF4A9DCAeB4CIwKyuLq3U6Buv1jW8+fRpmzYLp09lwqh0Gg5KmOG46\nzoe7P+TZ/s8SExKDwfANKlUIUVG3NHrJN954g4iICB544AEyLBa0kkQPH5EP2S1j3mL2bMPMzASj\nsUmFkU2tb6h+zJZU3wC+vRza69sDPrwcAHr2VBRfvXRF9PBoJjIR16njfLJ8ud/73X670sjy8suQ\n1nUsOeVOfh6coNRPPP98zb7JCQn8bLFworz8tz+cQOAHIRwEggvMwdJSvi8u5snk5KbNkZg+XRl9\nOWMG6enQqZPiJTRjwwwSdYk82vtRAIzGpURF3Ypa3bBnQmFhIXPmzOHRRx8lNDSUbRYLPcLCCPJh\n/FR2qIzK4krPwsgNG5R8Qj//7Z5u2c2hwkNNrm+Alikcqq036nZWBGuCaR3e2rdwCA1VXJ3qCYfA\nxED6X3M9rcOv5L3XXvPp5wCK5nj2WVi7FpIcfyNaC58f/gheegmWL6+57u0xMYSp1cwTFtSCPwAh\nHASCC8ys7GxSAgO5289MCA9+/BGWLYOZM7GpQ6tHVJCRs42lR5fy8qCXCdYEY7NlYbXubpLp0zvv\nvINarWbq1KkAZJjN9POXpthcgqSVCO9dZ33DBqXAooFihLMlZylzltE1rmmtmHa78qm9pQqHJndW\ngM8CSYD422N5wD6Rk3v2sGHDBr/3HDNGmWL+xkw9Q1rFs/z4VirH3q0IkmeeAVkmRK1mQnw8H+fl\nUVGnnkIg+D0QwkEguIBk22wsLCzksdat0TRmL11ZCdOmKS/ptDTWrFGMI8eNk5n+w3S6J3RnQuoE\nAIzGb5AkLdHR/u2fASwWC++//z5//vOfiYqKIs9u56zd3qB/Q3ivcNTBVdEIpxM2b25SmgKa3lGR\nlaUUGLY04aDVQmysD+Hgb0omKMLhyBHPwgggekQ0A+y9iGlzBS+99JLfewYEKPrgm2+gT+gETHY7\n609vUNoyN21SHD2B6cnJGJ1O5tadwiUQ/A4I4SAQXEDezslBp1bzp8TExjd/9JFS8PbuuyBJpKcr\nKYrD7mVk5GQw6+ZZqCTln7DBsAy9fjABAb4FQDUffvgh5eXlPP744wBkVLX/+eqokGVZGWxVN02x\ncyeUljYuHAoy0QfpSQprgo02LdPDoZqkJD8mUL5aMkHprADYtcvjsO5qHfbEAPq3uofNmzezadMm\nv/ecOBGSk2HTwukkB8MX+95Xhpb07w8zZoDbzWXBwaTFxTEzOxuHcJIU/I4I4SAQXCBKnE7+e+4c\nDyUloQsIaHizyQR//ztMmQI9emCxVLkGjnPw9PqnubXDrdzUXnl5OxwFmM1bGjV9qqioYPbs2Uye\nPJlWVVV9GWYzKYGBJPmYblnxawXOQqdnYeSGDUoL5jUNT908ZDhE17iuTavhQBEOarXyMmxp+PNy\nMNvNmCpM3id07Ki0UGZkeByWJAnplnBGn+pLl9TUBqMOWi089RR8syyB3sGxfHt8HWXOcmUa1r59\n8PXXADyTkkK23c5XotZB8DsihINAcIH4+Nw5HG43f60uxW+IF15Q2h5ffhmoGVGBI/UjTpecZubN\nM2u2Go0rAIno6NsbvOTnn3+OwWDgqaeeqjm2zWLx699QsqkE1BDet159ww03KG/5BsgsyDzvwsjk\nZCUM39LwJRw6RistmT7TFX6MoABa3R5Hq3yJO8c8woYNG8ioJy7qMmUKxMZKmH9+jfJKB98e+1aJ\nOIwYoXRYOJ101ekYFRPDa1lZuPwUXAoE54sQDgLBBcDudvNOTg6TEhJI9PHp3oMDB+Djj+Ef/4C4\nOECZpN3nhhLeO/gv7rv6Po+iQ4NhGZGRA9FqY/xesrKyklmzZjF69Gg6duxY8z3tsVr9+zdsLiGs\nRxgBYVVv87Iy5VNyI2kKh8vBMdOxS74VsxpfqYrL9JcBSsusT6qFQ72X+eVD47AFQQdrL7p06dJg\n1CE4GJ54An5aNpmOwUF8mTlfWXj5ZTh5Ej79FIBnU1L4taKCpcIQSvA7IYSDQHAB+KqggHMOB080\nNsxKlpWCyE6doKrrwWhUBlGG3foaFZUV/OvGf9VsdzpLKCnZ0Kjp06JFizh9+jTPPPNMzbG9VisO\nWfbZUSHLMuZN9fwbtm5ViiMbEQ6/GH+h0l3Z5I4KaNnCoVUrKChQalmrCdWGkqhLbLhAsrgYjnsK\ni4BgNSd7BxC4roznn3+e7777jt27d/u991/+AjqdTPDxEfxw8geM5Ualu2LCBPjnP6G8nGvDw7lZ\nr+eVs2f9tnkKBOeDEA4CwR+MW5Z5Izub26KjuTw0tOHNS5YolfFvv61MsKo65A7LYrPjbab3ne5R\ncGgyrUKWK4mJGeX//m43r732GkOHDqV79+41xzMsFoJVKp+W17YzNuw5dm//hsREuOKKBh+hekbF\n/5JwcLsV8VAXv1MyAXr1Uv70ka4ovTmUuP1ORg0aRadOnfj3v//t995hYTBtmoqjS95AlmUWH16s\nLPzzn4rifO89QIk6HCgrY01R0Xk/n0BQHyEcBII/mDUmE0fLyxu3ly4vV8yeRo5UBhNUkZ4O8WnP\nExkUyZPXPelxitG4lLCw3gQF+Y9krFmzhkOHDjFjxgyP49vMZq4NC/PZFlr8QzGoIaJ/PeEwaJCS\no2+AzIJMksOTiQyKbHBfNaWlyjuupQqH3+TlEBkJXbp4FUgCRA6LQuUG03clPPvss6xYsYIDBw74\nvf+jj6rQOmNJKOvKV5lfKQfbt4c//1mxKi8uZmBkJP3Cw3lZRB0EvwNCOAgEfzCzsrPpEx7OdQ0M\nhFI2zoL8fHjrrZpDOTmw+fg+8uO+5J83/BOdtjY64HKVUVS0tkHTJ1mWefXVV+nXrx8DBgzwOJ5h\nsfitbyj8uhD9ID0avRL1oKhIqdZvJE0BsL9g/3nXN0DLFQ6+bKehEeEAfgsku7SL4OjlkLWikPHj\nx9OuXbsGow56Pdx33zEKN/yVbdnbOF1c9RdaVSDJ668jSRLPtmlDhsXCpnr+EQLB+SKEg0DwB7LT\nYmGz2dy4vXRWFrz+Ojz2mGILWMXChTLSLU/SKepypvSY4nFKUdFa3G4bMTF3+L3sli1b2LZtGzNm\nzPC4f5bdTp7DQV8fYsZR4KBkYwmxY+o4W27cqNRfNCIcXG4X27K3cV3ydQ3uq0tLFw7R0UpWyZeX\nQ1FFEUUVftIDffrAwYNK0WkdrgoNJaMv2NabUctqZsyYwdKlSzlSbzBWXZ58Mgrp2G0EyMEsyFyg\nHIyPV36e3nkHcnMZFhVFt9BQXsnK+v88rkAghINA8EcyKzubjsHB3B7jv+MBgCefVPwRnnvO4/B/\nf1yL3G4Ds255nQCVZ6+iwbCM0NBUQkL8j61+9dVXueqqqxg+3NNRMsNsBvAZcTAsMyCpJGLvqCMc\nNmxQBE1KSoOPcajwEBa7hf4p/RvcV5fTpxX36oSEJp/SrFCplHSFr4gDwMmik75P7NNHKY6oV/wY\nqdFweqAGVambks0lTJ48mdatW/NyVWuuL1JS2nDH8FXwy0jmH/iqNh0xfTqEhMBLL9VEHdYVF7Or\nyvhLIPgtCOEgEPxBnCgvZ6nBwBPJyagbijZs2gSLFyv56LCwmsO/HHNxvO1TdAkZyIhOIzxOcbvt\nmEyrGjR92rdvH2vXruWZZ57xinZss1i4LCiIOK3W6zzDYgP6wXo00Zragxs2NClNsTVrKxqVhmuT\nrm10bzWnTyvjtJvoFdUs8WcCBX68HECpcQgL85muiOwehjlBwrTShFar5ZlnnmHhwoUcP+6nvRN4\n+OFjyAfGc6zoKPvz9ysHIyKUqVhz5sDx49wVG0un4GARdRD8vxDCQSD4g3grJ4cYjYZJ8fH+N7lc\nSvtlr16Kj3Adnln0OcQf4uO73vB68RcXb8DlsjTYhvnaa6/Rvn17xowZ47WW4cf4yX7OTsmmemmK\nnBz49demCYfsrfRM6kmwJrjRvdW05I6Kanx5OYQHhhMXGsfxIj8ve7Va+f/uQzik6nTs7KsIB1mW\nuf/++4mPj+eVV17x+z1cfnlPhnbMQaqI4fO9X9UuPPyw0g3zwguoJYlnUlJYbjRyqLT0tzyqQCCE\ng0DwR2BwOPgsP5+/tmpFcEMui598ohg+vfuuEvOuotRexuryF2hrTaN/+57e1zcsIzi4I6Ghvlse\njx8/zpIlS3jyyScJqGfHWO5ysb+01HeaYqkBKUAiZlSd1Er1pMYbb2zgiZWCyy1ntzAgZUCD++pz\nKQgHXxEHaGKBZEaGlxFUN52O9b3d2E7bKD9STlBQEE899RTz58/ndHVRSD0iI29kQtqbcGgMX+xJ\nx+WumooZHAwvvgiLFsHevdwTH09KYCCviaiD4DcihINA8Afwfm4uKuDhhuyli4uVyvfJk6F3b4+l\np5a/SaXGxN+v8/6E6XZXYjKtICbmTr8FlzNnziQ2NpZ7773Xa2231UqlLPuMOBgWG9DfUqebAhTh\ncPXV0EidxlnzWXKtuedV3yDLQjhQUABnz3ocTg0NZV93kENUGFcaAXjwwQeJjo7m1Vdf9XkprTaG\njh319A/vilnOY93xOkOyJk+Gyy+HZ59Fo1LxZHIy6YWFnKyoOO9nFQiEcBAIfmfKXS7+k5vL/YmJ\nRGs0/jf+4x9gtyuDieqQX5rPnKMzCTr4V+4Z0dbrNLN5K06n0W99Q25uLl988QWPPfYYQUFBXuvb\nzGZ0ajVd65lR2XPtmLeaiRsTV3tQluHHH5tc3wDQL7lfo3urMZkUH4eWLhySkpSR5/Wj/w2O14Za\nwVgvXdEhOBh1kIqS/kGYViqDskJCQnjiiSf4/PPPyfITLdDrB/OXEV9BUXv+vaJOuiIgQLGi/v57\n2LiRKYmJxGg0zBRRB8FvQAgHgeB35vP8fIorK3m8IXvpQ4fggw+UYVb1Rmz/46cXcTm0jEt6Dl+6\nw2hcRmBga8LCvFMYAG+99RYhISE89NBDPtczLBZ6h4V5FWwalhiQNBIxt9eJLPz6q/JRuonCoUts\nF6JDohvdW01Lb8Wspjqw5Ksl01BuwGwz+z4xNhYuu8xLOASoVAyMiODnPjKWDAsOowOAhx9+mPDw\ncGbOnOnrauj1g0lK+pnOzjvZZl5Cqc1Wu3jHHXDttTBjBsEqFY8nJ/N5fj65dvtvembB/y5COAgE\nvyMuWebN7Gzujo2lXbCfAkFZhr/9TXlbTpvmsXTUcJS5e+fg3vgC947T+zjVjcGwrCpN4f3P12Qy\n8fHHH/PII48Q7mcGxTaLxad/Q+HiQqKGRhEQUacmYsMG5dPqgMbrFrZmbaV/ctPTFACHDyvdFJ07\nn9dpzY6GTKAAThb7ackEv0ZQI6KjmdetAmQoWqN4Qeh0Oh577DHmzJnDuXPnvM6JiOiPJAXyxM1x\nyFoLz362unZRkpTOnR07YMUKHkpKIkSt5s3s7PN7WMH/PEI4CAS/I8sMBk7ZbDzZkN/B8uXKC3n2\nbKg3KfPp9U8TWplCUu7DPt/VVusuHI5cv2mK//znP7hcLqbVEyTVnKyowOh0eg22smXbsGyzeKYp\nQPk++/QBH/Ms6lJUUcRhw2EGtDm/wsjMTMUdubERHs2dattpXxEHaKAlE6BvX8WVs94n/xHR0Rii\nwNm9Nl0BMHXqVIKDg5k1a5bXpdTqYCIirqP3ZZuIKOvBZ3u+wu2us2HQILj5Znj2WcIlib+2asXH\neXkYHY7zel7B/zZCOAgEvxOyLDMrO5sbIyO5po4fgwc2mzILeehQqGfKtOnMJlb+uhI2vMq4uwPx\nMUICg2EZGk0sERHen+xLS0t59913+dOf/kRcXJz3yShpCoA+9YSD4WsDUqBE9Mg6aQaXS3GMbEKa\n4uesnwHOqzASFOFwVdPdqZstoaGKZUL9iIM+WE90cHTjBZIOB+zd63G4bXAwXUNDyRygpuj7ItwO\nRQFERETw6KOP8tFHH1FYWOh1Ob3+ZkpKfmJS93GUJq5m3tfFnhteeQWOHoX585nWujUS8I6vyk6B\nwA9COAgEvxObzWZ2Wa0ND7N66y3IzlaiDXVqDNyym+nrptNZ1wvLtjGMG+d9qizLGI3LiIm5HUny\nbvH85JNPsFgsTJ8+3e/tt1ksXBESgr5e8UTh4kKih0UTEF4nTbF/v9L50cT6hlZhrWgT0abRvXW5\nVIQD+HaPBCXq4NfLAZQx2EFBPtMVI6OjWdDdjsvqomRT7YyJadOmoVarefPNN73O0esH43aX8dCA\njqB28sKCpZ7dnj17wt13wz/+QbTLxZ+TkngvJwdz3bngAkEDCOEgEPxOzMrKomtoKEOjonxvyM1V\nPu09+qjSGleHrw9/ze683bQ/8QaXXSbR00fdY1lZJhUVJ3yaPtntdt58803Gjx9Pmzb+X94ZZrOX\nf0PFmQqsO6yepk+gpClCQrxaRX2xNXsr/VP6NzyPox5GozLT61IRDq1aeacqoAktmRqN8jL3U+ew\np00ltNZ4pCuioqKYOnUq77//PiaTyeOcsLDuBAToCXLup4d+EDn6r1izpt6FX3pJ+Xn86COeSE6m\nwu3mQxF1EDQRIRwEgt+Bw2VlrC4qaniY1dNPKzHtv//d47Asy7y85WVuaT+UbekDSEvzbb9sMCxD\nrQ5Hr/eOAHz55Zfk5uby9NNP+/0erZWVZJaVefk3GL42oApWET2iXjfEhg1w/fXgw5a6LhXOCnbl\n7vpNaQq4tITDb/JyAL8Fkr3Dw4nRasgeGFjjIlnN448/jizLvP322x7nSJKayMhBFBev55HrJ0Db\nTbwwK8cz6tC5M9x/P7z8Mkl2O/clJPBWTg7lLtf5PLLgfxQhHASC34E3srNppdUyzk9tAdu2wVdf\nKRGHei/u1cdXk1mYyUDpWcxmSEvzfQmjcRnR0SNRqTxf5C6Xi5kzZzJq1Ci6dOni93vcabXixnuw\nlWGxgejh0QTo6qQp7Pb/Y++8w6Mqt7d975lJr5NJQggQmkKilKCAShGVKIqA2FDE48GGiHIQRIrl\niIAGpIgCImI7KFUQERRREZBQpCgSkE4gIQnJpPcyM+/3x0tCMrMnmQT8fkD2fV250F0pXGvzAAAg\nAElEQVTfDUn2mrWe9SzYts2lMsWelD2U28rr7BgZHy+1odc4n9F1RaFmOw0ycDhXcI6Cshosnm++\nWU5ItbuAXlHoGxTE+i7llJwuofDQhUmaISEhPP/883zwwQfk2I3KNhpjyMvbxX3XxuCmc+fP8mVs\n3mx3z//+VxpPzJ7NuIgIssrL+VSlU0NDw546Bw6KovRUFOU7RVGSFUWxKYoyQOWYyYqipCiKUqQo\nys+Kolxjt99DUZT5iqJkKIqSryjKKkVRnPzG1dC4vEkuLWVJWhovNW2Ku5qi0WaT5Ykbb4Qnn6y2\nSwhBbFws3Zt15691PenQQc4+sqeo6DiFhfGq3RRr1qzh2LFjTJw4scZ17sjNJdBgINLbu3Jb8cli\n8veqlCl27YLiYpf1Df4e/rQLVbe/dsaBA/JZ7Ryxr1gqShXVuhhwYUomyM4KcFquWBNViuKjI3N9\n9bLE2LFjKSsrY+7cudW2G40xgBVR8hf3RfbH66YlTJ1qd+GmTWHkSJg1i1b5+Qxu1Ih3k5Ios38A\nDQ076pNx8AH2AyMAYb9TUZTxwIvAMKArUAhsVBSl6sekOcC9wIPArUA4sLoea9HQ+D/ng7Nn8dLp\nGFbRk2fP55/Dvn0O8ygAtiVuY0fSDl7qPJF162rKNqxBp/MiKKhPte1CCGJjY7njjjvo2rVrjevc\nmZfHzf7+6KrUQdK/TkfnrcPUV6VMYTJBx441XhNk4NCtWTf0uhpmcqhwNQkjQQYO5eVSu1EVl1oy\nw8OhWTPVwKFPUBDCQyG3h1c1nQNAWFgYzz77LO+99x75+fmV2728WuPh0Zzs7F8Y0mEIxQF/sfng\nIXbssLv4hAly2NY77zAxIoKzpaV8lZZWp+fWaHjUOXAQQvwohPivEGItoFbMHQVMEUKsF0IcBJ5A\nBgYDARRF8QeeAkYLIbYKIf4EngS6K4pS828+DY3LjDyLhY9SUnguPBx/tY/OublyrPGQIdDN0Yo5\nNi6WDo06UHKgL8XFqHZTAJjNqwkKuhu9vrrhwc8//8wff/xRa7bBJoSciKlWpuhvQu9j99LftEkO\ntVLLoFTBarOyI2lHnY2fbDZp/nQ1BQ7OvBxMXiYCPQPrrXPwNxjoFRBA3C3nXSTN1T0Xxo0bR2Fh\nIfPnz6/cpigKRmMM2dm/cM819xDoGYjpjiW8/bbdxYOCYNw4WLCA68xm7g8OZlpiIlbh8JlQQ6OS\nS6pxUBSlJRAGbKrYJoTIA34Hzufi6AwY7I45CiRWOUZD44pgUWoqxTYbo5zZS0+eDIWFMH26w64/\nU//kxxM/MqH7BJYvV7jlFmjRwvESJSVJ5OfvJiTkQYd9sbGxdO7cmd61lBSOFhWRY7FU0zcUHS+i\n4M8CR9On/HzYvdulMsUh8yFyS3PrLIxMSJB/LVdT4ODMPVJRFNcFknv3yrSFHf2Dg/lfhyLggotk\nBU2bNuWpp55i1qxZFBZe0EAYjTEUFR0CaxYPX/cwSvul/LDBZm8XId1LjUaYNIlXIyI4XlzMKrPZ\npWfWaJhcanFkGLJ8YZ/rSju/D6ARUHY+oHB2jIbGZU+ZzcZ7SUkMadSIJnYOkAAcOSLLE6++euGt\nUoVp26fRytiKO8IeZuPGmsoU36IobgQFVTeM2rVrF1u2bGHixIm1tkHuyMtDAbpWCRzMK83offUE\n3WPXPvrbb2CxuBQ4bDuzDTedG12b1C1ZeLV1VAA0aiQTNPXycgAZOBQXS/GHHf1MJtKNYLnBq3Ja\nZlUmTJhATk4OCxcurNxmNN4BQHb2Joa0H0KG5QzhN+3gHfuBqxWdPosX0zkxkbuMRt45c6ZaB4eG\nRlWuKFnS6NGjCbBTpA8ePJjBzn7jamj8gyxPTye5rIyxaoZPQsDo0RARAWPGOOw+nnmcVX+vYn7f\n+Xz3rQGbDQYNUr9PRsY3GI29cXMLrLY9NjaWtm3bMnDgwFrXui4jg85+ftXKKekr0zENMKH3UilT\nNGvmUrtDXFIcncM74+XmZC6HE+LjZZbcbr7XFY3BIIMH1c4K4zVsO7Ot5gvccIP0zfjlFymkrUJr\nLy8ivb356zYdbvMyKc8qxy3ogolX8+bNeeKJJ5gxYwbPP/88Xl5euLuH4uPTkezsX+gZ+RnN/JvR\n6sElrH6lB3//bSfCfeYZmDMHRo3itVWr6PXXX3yfmUm/Wkapa1x+LFu2jGXLllXblpvrZMhafRFC\n1PsLsAEDqvx/y/PbOtgdtwV47/x/3w5YAX+7Y04Do5zc5wZA7Nu3T2hoXA7YbDbRfvdu0fevv9QP\nWLdOCBBizRrV3c+sfUaEzQwTxeXF4vbbhYiJUb9MaWm62LxZJ5KTP662PT4+XgDis88+q3WtmWVl\nwm3LFvFeYmLltoLDBWIzm4X5W7PjCR06CDF0aK3XtdlsosmsJuKVn16p9Vh7Hn5YiF696nzaZU/n\nzkI884zj9i/+/EIwCVFYVljzBQYOFKJbN9Vdr5w4Idp8t01scdsiEt9LdNh//PhxodPpxNy5c6ts\ne1ls395E2Gw2Me6ncSJoWpBoElEqHn9c5QYbNggBwrZ8uei+b5+4ed8+YbPZal6vxhXBvn37BLIa\ncIO4iHd+xdclLVUIIRKAc0BljvO8GPImoELPuw+w2B3TFogAdl7K9Who/FNszMoivrBQ3V66tFRm\nG2Ji4L77HHYn5yXzv7/+x+ibR5OV7smWLTWVKdYCEBxc/TrTp0+nadOmDBkypNa1rjKbsQpRzWPC\nvNKM3l+PsY/dBM70dJkqd6FMkZibSHJ+cp31DXD1dVRUUJMJFMCp7FM1X2DAANi5U/472NHPZOKY\nnwVdvwBSPkpxKCVcc801PPbYY0yfPp3S8wOzjMYYysqSKSo6ypAOQ8gqyaLvfzaydCmctO8Ovftu\nuP9+lDFjeC00lF15eWyx84fQ0ID6+Tj4KIrSUVGU6PObWp3//4rfoHOA1xVF6a8oSntgMXAWWAuV\nYslPgdmKotymKMqNwGfAdiHE7ot9IA2N/x/MSEqis58fvQIDHXe+/75U/73/vqoF5Oyds/Fx92F4\n5+GsXCkdhx9QH3ZJRsY3BAT0xN39wks/ISGBZcuWMXbsWNxrcXUEWJqWRm+jkbAqOoz0FekE3xeM\n3tOuTFHhEnTHHbVeNy4xDoDuzbrXemxVSkrg+PGrM3Bo3lzlhYyLLZlwYfDZ99877Orm74/RYGDv\ng+4UHy0m9zfH9PNrr71GcnIyX3zxBQCBgT1RFDeys3+hQ6MOtAttR3bTJQQHq+p15QyV7Gzufv99\nOvn68vaZMzWvV6NBUp+MQ2fgT2TmQACzgD+AtwCEEO8Cc4GFyG4KL+AeIUTVHqLRwHpgFbKMkYL0\ndNDQuOzZl5/Przk56vbSqalyDsALL6g6OWUWZbJw30Je6PIC/h7+LFsG99wDavGHxZJLdvYvDqZP\nM2fOJDAwkGeeeabWtSaVlLA1N5chjRpVbis8VEjR30WOpk8g9Q1RURd6C2tgW+I2rgu5DpO3qdZj\nq3L4sBy8eTUGDtHRMigqsDOJDPUJxc/dr/bAITRUmkF9953DLoNOxz1BQSxuU4hXGy9SFjqKKSIj\nIxk0aBCxsbGUl5ej1/vg79+N7OyfAXi8/eN8f+I7XhyTzxdfyHlr1WjeHF5/HWXOHF7V6diUk8Pv\nefY6do2GTn18HLYKIXRCCL3d11NVjpkkhAgXQngLIfoIIU7YXaNUCDFSCBEshPATQjwshHDMzWlo\nXIbMSEyklacnD6gJxyZOlD7Kkyapnjtv9zxswsaom0Zx8qTsenRWpsjM/B4hygkOvr9yW1paGp99\n9hmjRo3Cx8dH/cQqLEtPx1On4/4qa01fmY4+QE/QnSrDuDZtcqlMATLjUFf/BrjQUdGubkaTVwTR\n0VIXW/GMFbjckgmyXPHTTzI1Y0d/k4n9hYV4PxmCeZXZwdMB4PXXXycxMZFFixYBEBR0Jzk5m7HZ\nLAxuP5hiSzGht63B1xdmzlS5/8svQ8uW3P/KK7T18uIdLeugYYc2q0JDow4kFBfztdnMmGbNMNib\nI/3+O/zvf/D227Iv3o6CsgI+2P0Bz9zwDCE+ISxfLkX0/fqp38tsXo2fXxc8PS/oKObMmYPBYODF\nF190ab1L0tIYYDJVdlMIIUhfkU7I/SHoPOzWf/o0nDrlUpkiqziLQ+ZD9dY3tGgBfn51PvWy5/rr\nZenpzz8d90UGR7L/3P7aLzJgABQVwa+/OuzqExSEHth1rwEUOPfFOYdj2rVrx9ChQ3nzzTfJzc3F\naIzBas0nP38PEQER3Nr8Vr45voRRo+Djj8HBKNLDA+bORf/rr0xMTeW7zEzi7VMoGg0aLXDQ0KgD\n7509i9Fg4MkwO8uRinkU0dGytU2FT/74hLzSPMZ2GwvAsmVSO6mWOLBai8jK2lDN9Ck3N5cPP/yQ\n4cOHY1QJTOw5WFDAgcJCHqtapogvpPhosfMyhU4Ht91W67V3JEmtsyaMrI67u6xQ7VeJD25vcTt7\nUvaQW1JLa1xkpGyFVSlXGN3c6BEQwFqRQ8jDIaR+nIqwOfotTJkyhaKiImJjY/H1vRG9PoDs7F8A\nGNJ+CL+c+oVBT53DzU3KGhzo0wcefJDHRo6kubs7sYmJrjy+RgNBCxw0NFwk8/z0wBeaNMFbbycq\n/PJLWXf44APp/W9HmbWMWTtnMaT9ECICIoiPl5bLzsoUWVkbsdmKq5UpPvzwQ0pKShg9erRL612S\nno7RYOCeoAslifSV6RiMBoy9VQKPTZukl4ALQUlcYhxN/JrQIrCFS2upytUcOAB06qSecYhpFYNN\n2Nh6ZmvNF1AUmXVYt85xYhbSRXJTTg6mZ8IoPlFM9q/ZDsc0adKEsWPHMmfOHJKSkjEab68MHB66\n7iH0ip6fklcwYgTMnw9ZWQ6XgNmzccvKYty+faxIT+dEUZErj6/RANACBw0NF1mQnIwNeNHeBTI/\nXw4LeuQR6Kk+WvqrA1+RnJfM+O7jAZltMBrlBzs1MjK+wcenHd7ebQAoLi5mzpw5DB06lHAXhIs2\nIVialsbDISGVEzuFEJhXmAl+IBidu92PvhAyNe6ivmFb4jZ6RPSo1bHSnqwsaZB0NQcO0dEyOLJY\nqm9vaWxJy8CW/HLql9ovMmCA/Ity8IeWbZklNhu7r7fiHeVN6kL1UdivvPIKRqORV1999fyY7Z1Y\nLAUEeQXR99q+LIlfwpgxUqhqN1xTEhEBr7/Ok+PHE6IoTHdQUmo0VLTAQUPDBYqtVuYmJzM0LIwQ\n+xbIqVPlMKt331U912qzMn37dAZGDiQqJAohYPlyePBBmdq2x2YrIyNjHcHBF7opPv/8czIyMhg3\nbpxL692Rm0tiaWm1boqC/QUUnyh2nE0BMv2RluZS4FBcXsye5D31LlPA1R84lJZKx3F7YlrFuBY4\ndO8uI0uVckVbb2+u9fJifVYW4cPDyfg2g9JzpQ7H+fr6MnXqVJYuXcrJk6EIUU5urnSvHNJ+iCyb\n6I/z7LOyc7jKcM0LjBmDV7NmvLxxI/87d46zKoJNjYaHFjhoaLjA4rQ0zOXlvGw/zOr4cVkkHj9e\nfkJTYc2RNRzLPMbEHnKC5e+/S5sHZ2WK7OxfsVpzK/UNFouFGTNmMGjQIFq3bu3Sepekp9PMw4Me\nVSzazSvNGEwGAm9X6f3ctElGMd1r92TYm7KXclt5vQMHNzdo06bOp14xRJ93uFHTOcS0iuFwxmGS\n81RcoqpiMEhPB5XAAWTWYX1mJqGPh6IYFM595iiSBBg6dCjt27fntdc+wN29SWW5ol+bfvi5+7Ek\nfgmvvCLbRxcsULnAeaHk8Dlz8LVamallHTTQAgcNjVqxCsGspCQeCA7mGm/v6jvHjJEDF155RfVc\nIQSxcbH0btmbLk26ALJM0bgx9Oqlfr+MjG/w9GyNj4/8WL58+XJOnz7NhAkTXFpvmc3GyvR0HgsN\nRXe+lFDZTfFgCDo3lR/7TZvk2G/751MhLjEOfw9/2ofWPW0QHy9tItzcaj/2SiUgAFq2VA8c7mgp\nO1Z+TXDsmHBgwAD46y9QaYfsbzKRUlbGQbdSQh4JIXWRukhSr9czc+ZM4uLi2LevTWXg4OXmxYPX\nPciS+CU0aSIYOhRmzZLNHA7cdRd+997Lf9as4eOUFMxlji2gGg0LLXDQ0KiF7zIyOF5czCv2GYUf\nf4T162UzvJMX7s+nfuaP1D8qsw1WK6xcKQdaqWgoEcJKRsa3hIQ8gKIo2Gw2pk2bRt++fenYsaNL\n692YlUWWxVKtTJG/L5+ShBL1MoXFAlu3uu7fkBRHt2bd0OtUHqAWrnZhZAXOBJLB3sFEh0XzS4IL\n5Yo+fWSEtW6dw64eAQH46/Wsy8wkfHg4JadLyPpJTeEId911F3fffTfvvfc3OTkHKCuT/ZdD2g/h\nRNYJ9qTsYcIEyMyETz5xspbZsxn59dfoysuZc/Zs7WvXuKrRAgcNjRootdl48/RpegYEcFOVkdSU\nlcFLL8m0wUMPOT0/Ni6WzuGdKz9pbtkC5845L1Pk5m6nvNxcqW9Yv349hw4dYuLEiS6veUlaGu19\nfGjv61u5zbzSjFuIGwG9AhxP2LsX8vJcChysNivbE7fXy/hJCDh4sGEEDtHRMuOgNpk6pqXUOdjP\nmnDA3x9uv121XOGm03F3UBDrMzPxv8kfnw4+pHykMpbzPDNmzODMGTNr18pSGMj20Ma+jVlyYAmt\nWsnvyRkzpD7DgWbNML30Es9/8w3zkpLItVd+ajQotMBBQ6MGJp0+zZGiIt63HzE9b57UN3zwgeo8\nCoBdZ3ex5fQWJvaYWNl9sGwZtGoFXbuq389s/gZ393D8/bvKMkdsLD169KBHD9de1PkWC99lZvJY\nlYFWQgjSV6YT8lAIOoOTMoWfH3TpUuv1D5kPkVuaWy99w5kzUoDXUAKHrCwVS2ekziElP4UjGSrq\nSXsGDJDRpspY5P4mE3vz8zlXVkb4c+Fkrs+kNFntrS9NoZ5++mm+/FLP6dNyDoZep+fRdo+y/NBy\nLDYLEyfKAV2LFztZy5gxjNm7l9KyMuZrWYcGjRY4aGg4YXtuLu8mJjKpRQs6VbU5TE+Ht96C556D\nDh2cnh8bF0tkcCQDIwcC8pPc6tXw6KPqsYYQgoyMb86XKXRs3bqVXbt2uaxtAFiTkUGxzcbgqmWK\n3fmUnilVN30CGTj06iUFebUQlxiHm86tUq9RFxpCR0UFnTrJP9V0Dj0ieuCmc2NTwqbaL9S/P5SX\nw8aNDrvuMZnQAd9nZtLo8UboPHWkfqremgkwefJkrFYd77//XWW2Y0j7IaQXpvPLqV+47jo5bG3a\nNMdWUgDc3Wn89ts89cMPvHfyJEVWa+3r17gq0QIHDQ0VCiwWnjh8mJv8/RlnPzr7tdekQGHKFKfn\nH0w/yHdHv2N89/HoFPljtnEj5OQ4L1Pk5++ltDSpskwRGxtLhw4d6Nu3r8vrXpqWRs+AAJp7elZu\nS1+ZjnuYO4E9Vbopiothx446zae4MfxGvN1qF1HaEx8vhYP2jSlXI02agMmkrnPwcfehW7NurrVl\nRkTI9IVKucLk5ka3gADWZ2Zi8DfQaHAjUhelYrM4mkYBhIWF8Z//PMKqVfn8/bcsV9zQ+Abamtqy\nJH4JIL+1T52S7cKq3Hknr+TlkQ0sSkioff0aVyVa4KChocLLJ09yrqyMxZGR1WdS7NsHn34KkyfL\nN4MTpm+fTjP/ZjzW/rHKbcuXy8FOzoY7ZWR8g8FgIiCgJ/v27eOnn35iwoQJLpsspZWV8XN2djVR\npLAJzCvNhDwUgqJXuc727TIV4kLgIIRgW+I2ekaom1zVRny8TNDU0TPqikRRZNZBLeMAslyx+fRm\nLDYXtAIDBsgx2+XlDrv6mUz8nJ1NidVK4+caU3q2lKwN6iJJgAkTZhIQABMnjju/ToUh7Yew5vAa\nCssK6dQJ+vaFd95RNa0EoOVbbzFkyxZmHD9OmbODNK5qtMBBQ8OOHzIz+Tg1lVmtW1dvvxQCRo2S\nk4yGD3d6fkJ2AsvilzG221jc9dLhqbAQ1q51nm0QQmA2ryY4+D50OgPTpk2jVatWPPzwwy6ve0V6\nOnpF4eGQCyWJvF15lJ6tpUwRGurSqMrE3ETO5p2tl74BGk5HRQUVAkk1YlrFkFeax76UfbVfaMAA\nmaravt1hVz+TiSKbjc05Ofh39sf3Rl/VcdsV+Ps3YuTINqxb9wc7d+4E4LH2j1FYXsh3R2VW4/XX\n5ejzNWucXKRpUyaEhJDi4cHifS6sX+OqQwscNDSqkFFWxtNHj3JPUBDP2Vs7L1smf3m//36NeoCZ\nO2Zi9DLyzA0Xhl2tWyd75B99VP2cwsJDFBcfJyTkAY4cOcLq1asZN24cBhd0BxUsSUvjnqAggqqY\nJKSvTMc93J2A7irdFCADhzvucCkNEJcYB0C3Zt1cXlMFZWVw9GjDChw6dZIDR7MdR0nQObwz/h7+\nrpUrbrgBwsNVyxXXeXvT0tOT9ZmZAIQ/F07WD1mUnHHu8Pj444O59lo9Y8aMRghB66DW3Nz05spy\nxS23yG+Jt99W7woBiBo+nAf272daYiIWLevQ4NACBw2N8wgheP58+vXTtm2rlwgKC2HcOKkeq2Hs\ndFpBGp/t/4xRN42qpgNYtkx2UrRqpX5eRsY36PV+GI0xTJo0iaZNmzJ06FCX1368qIjd+fmOZYqv\nzYQ8HIKiUwkMcnJk6aUO+oao4CiCvYNdXlcFR45IwV1DChwqHCT/+stxn0Fn4LYWt7nm51Ax9Oq7\n7xze5Iqi0M9kYl1mJkIIQgeHovfVk/qJc5GkyXQXw4db2bXrd77++mtAiiQ3ntxIRlEGILUOf/4J\nGzY4uYi7OxM7duSkycTXTlMTGlcrWuCgoXGeJWlprDKbWdCmDY09PKrvjI2FjAxp9lQDc3bNwaAz\n8EKXFyq3ZWfLX8DOyhQg2zBNpn4cPHiUFStW8MYbb+Bhv4YaWJqejq9eT/8quovc7bmUpZSpmz6B\nbPOz2epk/HQx+gZwqSJy1dCmDXh6qgskQfo57EjaQVG5C1Mn+/eHkydlDcF+l8lEUmkp8YWFGHwN\nNHq8EamfpmIrV88E+Pl1oUsXP3r3bsuECRMoLS1l0PWDEEKw8tBKQNpH3HKLHMPiLOtwY+/e3J2Y\nyDuFhdhycmp/Bo2rBi1w0NAAkkpKePH4cR4LDWVQqN2L9tQpGTC88or0EnZCbkkuH+79kOc7P4/R\n68Jo6m++kZ+2Bw1SP6+4+CSFhX8RHPwA//3vf2ndunWdsg1CCJakpfFAcDBeVewozSvNeDT1wP9m\nf/UTN22Sz1PDM1WQVZzFwfSD9dY3HDggGwQCnFRMrkYMBikGrUnnUGYtqywB1cgdd0h3UpVyxa2B\ngfied5EEWa4oSy0jc32m6qV0OjcCA29jxIgAEhMTmTdvHqE+odzV+q7KcoWiyKzDzp0yvnTGq7fc\nwsGICNZ/9FHtz6Bx1aAFDhoNHpsQPHnkCL56PfOuvdbxgLFjISREjs6ugQV7F1BqKWX0zaOrbV+2\nDG67TZap1TCb16DTeXLyZAhr165l0qRJuNVhmMPe/HyOFxdXL1NYBeZVZkIGOSlTQJ3GaO9I2gGg\nCSPrSHS084xDZHAkjX0bu6Zz8PSUFtQqgYOHTkcfo7FS5+Db0Re/m/xqdJI0GmMwmfbz7LNPMXXq\nVDIzMxnSfgg7knaQkC3bLPv2let/+23ny+p57bX0zM/n7YAAhFpNRuOqRAscNBo885KT2ZSTw+eR\nkRjtX9ibNkl5+bvvgo+P02sUlxfz3q73GBo9lMZ+jSu3nzsHmzfXXKbIyFhNUNDdvPVWLFFRUQyu\n6WAVlqan08jNjTsCL/g05GzLoexcDWWK1FT4++866RvC/cJpEdiiTmuroKEGDp06yeqC2jRqRVFc\nH7MNUuewa5ccf25HP5OJ3/PySD8/gCp8eDjZP2VTfKpY9VJGYwxClPHSSzFYrVamTJnCfZH34e3m\nzdL4pefXJ7MOmzbJ2zrj1a5d2R0Vxa+zZzuva2hcVWiBg0aD5khhIeNPneLFJk24Myio+k6LRbZf\n9ujhvB3iPJ/v/5yMogxe6VZ9SubSpdIr6sEH1c8rLU0mL28XJ05cz8aNG5k8eTJ6telXTrAKwfL0\ndB4NDa3mN2FeacajuQd+Xf3UT/z1/HTGGoSeVYlLjKNHRA+XPSWqkp0NZ882zMAhOlp+G/39t/r+\nmFYx/Hnuz0pRYo3ce6/88/vvHXb1Pa9t+eF81iF0UCj6AD2pi9RFkt7eUbi7N8Zg2Murr77K/Pnz\nST2TysDIgSyJX1LpLPnAA3KaaU1Zhz6hodwgBO907AhffVX7c2hc8WiBg0aDpdxm419HjtDcw4Pp\nau0OCxbI3/g1zKMAsNgszNgxg0euf4TWQa0rt6ekSHPJxx8H+5ikArP5G0DP7NmbiY6O5oEHHqjT\nM/yanc25srJqZQqbxYZ5lZnQQaHOX/SbNsk3ub2eQ4USSwl7UvbUWxh58KD8syEGDh06gE7nvFzR\nu6XM+GxO2Fz7xUJC5OhzlXJFqLs7N/n7V5Yr9N56wp4II/WzVGxljiJJRVEwGmPIzv6FUaNGER4e\nzvjx4xnSfgiHMw6z/5wUZuh0MHGiHALr7BkUReHVdu349YYb2LVwoezW0biq0QIHjQbL22fO8Gd+\nPoujovC2/5SfkQH//S8888yFwQNOWH5wOadzTjOhxwUNhBDw/PPg4eG8EcNmKyUpaRbHj3dj27Yd\nTJkyBZ2ubj+SS9LSuNbLi85VZmnkbs2l3Fzu3PRJCBk4uFim2JO8hzJr2UXpGwwGaNu2Xqdf0Xh7\ny+4KZwLJJv5NiAyOrFu54qefpFW4Hf1MJjZmZ1N63lch/LlwytPLyfhWPZthNMZQUPAnen0h77zz\nDmvWrMErxYtg7+BKkSTIMlvLltJN0hn3BwcT6ebGO/37w5tvuvYsGlcsWuCg0ZbjhaUAACAASURB\nVCDZnZfH1DNneK15c7r6q3QdvPGGfMHWlKMFbMLGtLhp9L22Lx0aXRh4tWKF/GC4YIHzbENKykJK\nShL5+ONcbrrpJu6tSEW7SLHVyjcZGQxp1KhaZiF9ZTqerTzxu9FJmeLkSUhMrJO+wc/dj/ah9UsZ\nxMdDZCS4u9fr9CuemgSScH7Mtit+DiADh+JiGfjZ0d9kosBq5bfzn/h9rvchoEeAUydJo1H+++fk\n/MrgwYPp3Lkz418Zz6DrBrHs4DKsNjnEymCQuuDVq1W7QQHQKQoTW7dm3U03ceCHH9TNKzSuGrTA\nQaPBUWS18sThw3Ty8+P15s0dD/jzT/j4Y5g0SaaHa2D9sfUcMh9iYo+JldvMZhg5Eh5+GO6/X/08\niyWfM2emcuRIDHv3HmDq1Kl11g+sy8wk32qtNkLbVm7DvNqFMoVeD7fe6tJ94pLi6NasG3qd69qL\nqjRUYWQFnTrJ96gzg8WYVjGcyj5V2c1QI23bwrXXqpYr2vv40MzDo7ItE6Dxc43J+TWHomOOXhEe\nHk3w9o4iO/sXdDods2bNYs+ePYSeCyUlP4WtZ7ZWHvvvf8uuoNhY50sbHBpKCw8PYp97Dl54wfkD\na1zxaIGDRoNjwqlTnCkt5cvISNzsSwOZmVLJ2KGD/OVXA0IIYuNi6RHRo1oaf+RImayYO9f5uWfP\nzqasLJePPkqmV69e9Hbx039VlqSl0cXPj2urzNPI2ZyDJdPivEwBMnDo2hXUMi122ISN7Ynb612m\nEEJqHBpy4BAdDQUFMtGjRq8WvdApOtfGbFe4SK5b5/BirnCRXH/eRRIg5KEQDEEGUj52lnWQOgeA\nW2+9lYEDB/Lp5E9pGdiSJQculCs8PKSNydKlzp/DTadjXEQEK2+8keOnT8OXX9b+PBpXJFrgoNGg\n+Dkri7nJyUxv1YpI+/bKCpem/HzZglmLl8LWM1vZdXZXtWzDt9/KMsUHH0AVvWI1ysrMJCXN5ODB\nuzhw4O96ZRuyysvZkJVVTRQJskzhdY0XvtG+6ifabHXybziUfojc0tx6CyOTkiA3VwscwLnOIdAz\nkC7hXeqmczh3DvbuddjV32QioaSEw0Uyw6D31BM2NIxzX5zDWmJ1ON5ojKGkJIHi4lMATJ8+ndSU\nVFrmt2TV4VWUWC70kT77rPyeHjvW+dKeDAsj1MOD6a+/Li3aNaHkVYkWOGg0GLLLy3nyyBF6Bwby\nYpMmjge8/DL89husWgUtWtR6vdi4WDo26sg919wjr58tBZH9+9fs25CY+A5Wq8L8+Ue5++676dGj\n7p/mV5nNWIXgkSqlFFuZjYxvMgh5JMR5IHLggMyquBg4bEvchpvOjS5NutR5jXDBarohBw6hoTLN\n7yxwAFmu2JSwCZtwIb3frZsUzqiUK24PDMRbp6tWrggfFo4l00LGakeRZGBgL0BfmXVo06YNI0aM\n4PdPfievNI/vj11o/fT2hvfek8Hx+vXqS/PU63m5aVMWR0aS5O0tBcYaVx1a4KDRYBh5/DgFViuf\nR0ais3+xfvaZTBO8/z706lXrtfal7OOnkz8xoceEypf0mDFSt7ZggfPuzZKSMyQnf8gff9zF0aPH\nmTJlSr2eZUlaGjFGI2FV5llkb8rGkm1xbvoEskzh5SUHEbhAXGIcN4bfWG1gV12Ij5cVkYiIep1+\n1dCpUy0CyVYxZBRlcCDtQO0XMxikp4NK4OCp13NnFRdJAO+23gTeFqgqkjQYAvD3v6kycAB44403\nMOQYCCkPqdZdAVK3c+edshxX5GTExvDwcHwNBmZOmwbz59ccMWlckWiBg0aD4Ov0dJakpzPv2mtp\n5ulZfefOnTJVMGyY/NMFpm2fRmtjax667iEAfvwRvvgCZs8GtWRGBadPTwICmT//DwYOHEjnzp3r\n/CyJJSX8lpvrUKYwrzTj1dYLn/bOHS7ZtEkaWrk4QCsuMY4ezeqnbwAZOLRr59LU7qua6Oia35+3\nNL0FL4MXm065oHMAWa6Ij5dzu+3oZzKxIzeXzPLyym3hw8PJ3ZZL4d+FDsdLncMmxPlsR3BwMK+/\n/joZmzNYf2w92cUX5oIrCsybJz1KnAklfQ0GRjVtyqLGjUnv3FkTSl6FaIGDxlVPamkpw48d48Hg\nYIeXLWfPytaHrl2lmtGFN9zRjKOs/ns147qPw6AzkJcnY44774Qnn3R+XmHhIc6dW8zvv/cmIeE0\nkydPrtfzLEtPx0un4/7gC+OtbaU2zGvMhD5SQzdFWZksxbhYpkjMTSQpL6newkjQOioqiI6WLt8q\nbtEAeBg86Nm8p+ttmX36yP7Wdescdt1rMmEDNlTJOgTfH4xbiJtq1sFojMFiyaKg4EJKZOTIkTTJ\nbkK5tZzVh1dXO75NGxg/XrqwHz2qvryRTZqgVxTmTJ8OO3bA4sWuPZfGFYEWOGhc1QgheProUdwU\nhY/atKn+Ui0ulkGDu7tsUnfRaODd7e8S5hvGvzv+G5A97llZsoOzprgjIeF1FKUZc+du45FHHqF9\nPd+oS9LSGGAy4WcwVG7L+jkLa6615jLF7t1QWFgn/waA7hHd67XO8nI4ckQLHOCCh1iNOoeWMfx2\n5jdKLaW1X9DPT86+VilXNPbwoLOfX7Vyhc5dR9iTYaQtTsNaXF0k6e9/EzqdT7VyhYeHBzPfnAkJ\nMP+3+Q73mDgRmjaFF19UH08R5ObG8+HhzNfryRk6VAols7MdD9S4ItECB42rmo9TU9mQlcWnkZEE\nVw0MhJAy8UOHpNrLBetlgLN5Z/nywJeMuWUMHgYPtmyRmobp02vWU+bm7iQj41vi4m4lJSWFSZMm\n1et54gsKiC8sdCxTrDDjfZ03PtfXUqYIDKzVCbOCbWe2ERUcRbB3cO0Hq3D0qAwetMBBOi/6+dWs\nc+jdqjdF5UXsOlvDRKmqDBggZ17n5jrs6mcy8WNWFuVVSgThw8Kx5FgwrzRXO1ancycwsFe1wAFg\n0KBBtCpsxf6c/STmJFbb5+UlSxa//AIrV6ovb0zTppTabMwfM0ZO+XrjDdeeS+OyRwscNK5aThQV\nMebECYY1bsy954cAVTJrFixZAp9/Djfc4PI1Z++cja+7L8/d+ByFhfD009CzZ83SCCEEp05NQKdr\nx9y5P/HEE0/Qtp7+y0vT0wkyGOhTxY7SWmIlY20GoY/UEvxs2iQ/pbo4RCsuKe6iyxSgBQ4gZz7U\npnOIDosmyCvINT8HkO07FosU2NjvMpnItVqJqxJUeLX2wninUXXcttEYQ07ONqzWC1bWiqKwYOQC\nsMK4xeMczrnnHjkEa/RoyMtzXF6YhwdPN27MnLw8CqdMkRF2TZGTxhWDFjhoXJVYheCJI0cIc3dn\nVuvW1Xf++KMs0k6cCI884vI1M4sy+Xjfx7zY9UX8PPx44w0pEvv0U/licEZW1kZyc39j06bOZGVl\n8WY9vfxtQrA0LY2HQ0Jwr3LD7I3ZWPOthDxcg+lTYaGcjeximSK7OJuD6QcvOnBo0gSMxnpf4qqi\ntsBBp+jo3bK3634OzZrJ7JFKuaKTry/h7u7V2jJBzq/I25VHwYGCatvlmO1S8vJ2VNt+V6+7aFrY\nlG9OfEORShvFnDkyaHD2LT0uIoIci4VFAwfKMZuaUPKqQAscNK5K3k1M5Pe8PBZHReFbRQvAsWNy\nRPY998jRlXVg7u65CAT/uek/7Nwpf2lOnSodgJ0hhI2EhIno9Tczb953PPPMM7RwwSNCje25uSSW\nljqaPq1Ix6e9Dz5RNZQptm2TdQMXA4cdSfIFUl/jJ9CEkfZ06iS//QoKnB8T0yqG3cm7yStV+Qiv\nxoAB8MMP8t+2ClVdJKtiGmDCPczdQSTp49MON7dQh3IFwGsDXqPcVM74WeMd9jVrJoOGDz5QD4qa\ne3oyJDSUmcnJlM6bJzuY/vc/155N47JFCxw0rjr25+fz5unTjIuIoHtAwIUdubnyF23jxrJM4WLK\nHqCgrIAPfv+AZ294Fl9dME89BV26wEsv1XxeevpKCgr2s2HDdRQWFvLaa6/V86mkKDLCw6PaM1mL\nrWR850KZ4ttvpZrNxRLJtsRthPuF0yKwRb3XqwUO1YmOltKaihKOGr1b9sYqrGw9vdX5QVUZMEC6\nM8bFOezqZzJxvLiYY1UyBTo3HWFPh5H2ZRqWAkvl9qpjtu15sseTeAgPFu5YyLlz5xz2v/SSHGI2\nYoR6MmFCRAQpZWUsbtMGhgzRhJJXAVrgoHFVUWK18vjhw1zn7c1bVT/ZW63yl9a5c7B2LVQNKFzg\n430fk1+Wz8u3vMyUKdKv/7PPao49bLZyEhJex2C4i/nzVzFixAia1GTyUANlNhtfm8081qhRNfOq\nrA1Z2AptNZcpMjNlO9ywYS4bKsQlSn1DXa2wK8jLgzNntMChKtddJ72bairztzK2okVgC9fLFZ06\nyXqQSrmit9GIp52LJED4s+FYC6ykL0+vtt1ojCE/fx/l5VnVtnsYPHik3SNYr7Py3zcdnSDd3KR8\nYedOKRmyJ9LHhwdDQpiemIjl3XehtBRef92159O4LNECB42rijdOn+Z4cTFfRkVV0wHw+uuwYYMc\nJNGmTZ2uWWopZdbOWTze4XHMJ5sxfbp00r3++prPS039lJKSU3z7bTMsFgsTJkyoxxNJfszKIsti\nYYhd90f6inR8o33xblODs+PChfKj4PDhLt2rxFLCnpQ9F2X8dPCg/FMLHC7g4SG/Z2rSOSiKUrcx\n2xVDr9audeiL9Nbr6R0Y6FCu8GzuSdA9QaQuTK22XY7ZFuTkbHa4zVOdn8Lmb+OTjZ9wsOIftwq3\n3gpPPCGTCRmOzta8GhHByZISVur1MHmyjDT27XPtGTUuO7TAQeOqYWtODrOSkpjasiXtfasMeVq2\nDKZNkz2TffrU+bpfHviS1PxURncdz5NPypfheMdybzWs1iLOnHkLg+FBFixYxqhRowh1seVTjSVp\naXTw8aFdleeyFlrJXJ9JyCM1ZBvKymTf3BNP1DoivIK9KXsps5ZdtDBSr5d6OI0LREfX3lgQ0yqG\nv81/k5KvPtHSgQEDICEB/v7bYVc/k4ltOTlk22kgwp8LJ39vPvn78iu3eXpG4OXVRrVc0bN5T5r5\nN8Ovux/jxjl2WIA0hLLZpObYnk5+ftwTFERsYiK2F16QdqKaUPKK5ZIHDoqivKkois3u62+7YyYr\nipKiKEqRoig/K4pyzaVeh0bDIs9i4d+HD9MjIIAxzZpd2LFvHzz1FDz+uBxiVUesNivvbn+X+6Pu\nZ+0nkRw6JEsUtQzO5OzZ9ykvz2TFCj8MBgNjaxopWAt5FgvfZWY6iCIzf8jEVmQj9OEaApIVK6Rl\nYW1ijCrEJcbh5+5Hh0Yd6rtk4uNlYsdFZ+sGQ6dO8u/GYnF+zB0t7wDg14RfXbvo7beDr69quaKf\nyYQV2JhVvfwQ1DcI9yaOIklnOgedomNwu8HYomxs+GkDP//8s8MxjRrBO+/AJ5/IsoU9rzVvzsHC\nQtbl5spg9vffpU+7xhXHP5VxOAg0AsLOf1V+dFEUZTzwIjAM6AoUAhsVRXHNtk9DQ4WXTpwg02Lh\nf5GR6Cvq8mlpMHCgTBHUZuvohNWHV3M86ziDGk9kyhSZaajNP6m8PIvExOnodI+zaNFSxo4dS1AV\n34W68m1GBiU2G4PVyhQ3+uLV2kv9RCHkOMO775YFdhfZlriNbs26ode5Lh61RxNGqhMdLUv8zqya\nAUJ8QujYqKPrOgcPD5lJUwkcmnp6Eu3r66Bz0Bl0hD8bTtrSNCx5F6IYozGG4uITFBefdrjWkA5D\nKLAWENU/ipdffhmr1XFM97Bh0Lmz9DWxD466BwRwa0AA75w5g+jZUwbz48dL21WNK4p/KnCwCCHM\nQoj0819VvzNGAVOEEOuFEAeBJ4BwYOA/tBaNq5y1GRl8fu4cc665hpZe51+iZWXw4IPyt9eaNdLq\nro4IIYiNi6V3yxhmvdyZa65xzfwuMXE6Qlj48ksrvr6+jBo1qs73rsqStDRuDQioNpzLUmAh6/us\nmrsptm6VefHRo12+l03Y2J64/aLKFBWdA1rg4Eh0tPzTlXLFL6d+Qaj5OasxYID8BK/S9dDfZGJD\nVhYWu7JA2NNh2IptpC29MEAjMPB2QEdOjqMJVYdGHWgX2o4m9zQhPj6eL1SyBXq9lC8cOCAHY9rz\nWvPm7M7PZ1N2NsyYIX9ONaHkFcc/FThcqyhKsqIoJxVF+UpRlGYAiqK0RGYgKr8rhRB5wO+Aa3N+\nNTSqkF5WxrNHj9LfZOKpsDC5UQhpor9nD3zzTc3jKmtg48mN7D+3n2tSJ7J3ryxR2A/WtKe0NJnk\n5A+AJ/n886WMHz8ef3//et0f4FxpKb9kZzuWKdZnYiuppZti9mypxrvzTpfvdyj9ELmluRcVOKSk\nyG47LXBwJCBA2k/XNmm6d8veJOcnczSzhtREVfr2lRm177932NXPZCLbYmGnnb2jZ1NPTP1MpHyU\nUhmguLkF4ufXRbVcATCk/RC2m7fz0GMP8cYbb1CgYkpRkXGoMEiryp1GIzf6+vJOYiKEhUmh5Ecf\naULJK4x/InDYBQwF+gDDgZbAb4qi+CCDBgHYz4hLO79PQ8NlhBAMO3oUASxq2/ZC6+CCBbBokfyF\ndEv949HYuFg6mLryxaTbGT0abr659nNOn56MTufDp59mYTKZeOGFF+p9f4AVZjN6ReEhO2GjeYUZ\nv65+eLVwkkk5dgzWr4cxY+pUoolLjMNN50bXJl3rveYDB+SfWuCgjisCyZ7Ne+Kmc3N9zHZwMHTr\nplqu6OznRyM3N4dyBchx24V/FZK/+4JI0n7MdlUGtxtMsaWYm5+6maysLGbOnKm6nKlTZZLPXlak\nKAqvNW/O5pwcdubmSoFku3bOTSA0LksueeAghNgohFgthDgohPgZ6AsYgUGX+l4aDZv/nTvH2sxM\nPm7ThkYVA6y2bIFRo+RXTTOua2FH0g5+O/Mb5b9OpGkTxSWTyaKiY6SmforF8gxffbWc1157DW/v\nGtokXWBJWhp9g4IIqqLGtORZyNyQWXOZ4v33ZRfFY4/V6X5xSXHcGH4j3m71X3d8PPj41Dz0qyHT\nqZPMONRUhfB19+WWZre43pYJslzx889gZw2tUxTuVXGRBAi6KwiP5h7VRJJGYwzl5WYKCx2dqpoH\nNqdnRE++PP4lw0YNY8aMGaTYpxWQNuMzZ8Ly5XIQVlXuCw7mOm9vmXUwGGRNY/dumdLTuCL4x9sx\nhRC5wDHgGuAcoCCFk1VpdH5fjYwePZoBAwZU+1q2bNklX7PG5c/p4mL+c+IE/27UiPsrPo0nJMBD\nD0GvXvK31kUQGxdLmP46Dn87gE8/BVfe/wkJb+DhEc5HH52iSZMmDBs27KLWcLyoiD35+Y5linWZ\niFJByENOyhRZWVKtPmJE7bUVO7ad2XZR/g0gA4d27Wqe39GQiY6W/0RJSTUfF9Myhs0Jm7HYamjB\nqMqAAXJU/CbHLEU/k4nDRUWcLC6utl3RK4Q/G0768nTKc2TLZkDALeh0XmRlOXZOAMzuM5uzeWfZ\n2GQjHo08eMOJ8Ofxx6W/wwsvSEFoBTpFYWJEBOszM/mroEBOiXviiQvz6TUuimXLljm8J0fXQefk\nEkKIf/QL8AWygBfO/38KMLrKfn+gGHi4hmvcAIh9+/YJDQ2rzSZ6/fGHiNixQ+SUl8uN+flCdOgg\nRKtWQmRkXNT1D5w7IJiEcO/6P/H8866dk5e3V2zejPjll7cEID7++OOLWoMQQrx56pTw++03UWSx\nVG6z2Wzizzv+FPtuqeFnITZWCA8PIdLS6nS/U1mnBJMQ3x7+tr5LFkII0bGjEM88c1GXuKpJShIC\nhFi7tubjtiduF0xC7Era5frF27RR/cvPLy8X7lu2iDlJSQ77SlJKxBbDFpH0wYV9+/f3Efv393F6\nm2MZx0Tr91sLv7f8BOGI/fv3qx538KAQBoMQU6ZU315utYqWO3eKRw4elBvOnRPC31+I4cNdeEiN\nurJv3z6BlAncIC7Be/2f8HGYoSjKrYqiNFcUpRuwBigHlp8/ZA7wuqIo/RVFaQ8sBs4Cay/1WjSu\nTt47e5atubl8ERlJgMEga6NDh8KpU9JBz36Edh2ZFjcNz5LmNEobzPTprp1z6tREvL2jmDv3D1q3\nbs3QoUMvag1CCJamp/NgSAheVXytUz5KIefXHCImRqifWFYGc+fKj3t1NJz69M9P8XP3q/QRqA/l\n5XD4sKZvqIkmTeS3aG0CyS7hXfBz93N9zDbIrMO6dQ56AV+DgdtVXCQBPBp7YLrPRMrCCyJJozGG\n3NzfsNlKHY4HuNZ0LTue3kFk40iUpxSGvj1UtQPk+uulzObtt+WPZwUGnY7xERGsNJvlLI1GjeTQ\nuYULYe9e159X4/+EfyKZ2BRYChxBBgtm4GYhRCaAEOJdYC6wENlN4QXcI4Qo+wfWonGVcbCggFdP\nnWJ006bcXjGv+e23YfVq+OormSO/CE5ln2LZweWU/DqWRQvd8POr/Zzs7E1kZ/9MTs5Q1q5dy6RJ\nk3CrzSGqFvbm53O8uLiaxXTBwQJOjjlJ+IhwgvsHq5/49ddSyl7H1GSJpYSP933Mk9FP4ufhwkM7\n4fhxGbtogYNzFEXqHGoTSLrp3bitxW2u+zmADBzS0mRHkR39g4PZmpNDnor7VPhz4RQdKiJ3ey4g\nAwebrZjcXBUnp/OE+oSyZegWupq6sj9qP6MWq7cdv/GGlNuMHFld1/HvRo0Ic3dnemKi3DBihPzG\n0YSSlz3/hDhysBCiqRDCSwgRIYR4TAiRYHfMJCFEuBDCWwjRRwhx4lKvQ+Pqo8xm419HjnCNlxfv\ntGwpN377rRwcMXky3HffRd/jrZ9nQpGJf7V7yiV3aiEEp05NxM+vK7Nn/0pUVBSDBw++6HUsSUsj\nzN29MjiyFlv5+9G/8brGi9YzWztbjGzBvOuu2gdp2PH1oa8xF5kZ0WXERa27YvKjFjjUTHR07RkH\nkH4O25O2U1ReVPvBILuITCbV7op7g4IoF4KfVHQExt5GPFt7Vs6v8PXtgJtbsNO2zAq83byJGxlH\neGo4c0/PZdzGcQ6ZB19fqdX94QeZEKzAU69nbLNmLE5LI7Gk5IJQcs8e+PRT155X4/8ETb6kccXw\n1unTHCws5MuoKDz1ejlJ6V//kkZPFzGuuoLU/HN8degzfA++xPszXesqyMhYQ37+HtLSHmPjxo1M\nnjwZfR3GdathsdlYnp7Oo6GhlS6YJ8eepORkCVHLotB7Obn+tm3wxx8yN1xH5u2Zx12t76JtsGtj\nt50RHy/b84OdJEQ0JNHRcPp07dOle7fsTZm1jLhEx7HZqhgMcO+9qoFDCy8v2vn4qLZlKjqF8GHh\npH+dTnlmOYqiIzCwd62BA4BBb+DHkT/ittmNGbtm8Pg3j1NmrZ5AHjhQWk385z9QWHhh+7DGjfHX\n65lZoRTt0QP+/W8plFRZp8blgRY4aFwR7MzNZVpiIm82b84Nfn7yl8p990GrVrKD4BJI+Id9Ngdb\nuTsfPT2CiipITdhsFhISXiMw8E6mT/+G6OhoHnjggYtex685OaSVl1eWKTLWZpDyYQqtZ7fGt52v\n8xNnz5bW0nfdVaf77U7eze7k3YzsOvJilg1ojpGuUmFb/tdfNR93Xch1hPmGue7nALJccfBgdVHB\nefqbTPyQlYVVRY8QNjQMbHDuf7LBTY7Z3kN5eU6tt2zfvj0rX1oJX8OK+BXc/dXd5JRcOE9RpPTG\nbKZaa7OvwcBLTZuyKDWVtLLzwcb06WC1wquvuv7MGv9f0QIHjcueQquVJ44coau/PxMiIqSN9COP\nQG6uLFX41vAydZFjiTmsT/+QyILneeyBQJfOSUtbTFHRERITB/Lbb78xZcoUdJcggFmSlkYbLy9u\n9POj5GwJR546QvDAYMKHhzs/6cQJ+Slz9Og6z+SYt3seLQNbcs8191zkymXg0KH+s7EaDG3ayE7Z\n2nQOiqJI++m6+DncdRe4u0uRpB39TCYyysvZbeciCeAe6k7IgyGkfCxFkkZjDGAjK+tHl247cOBA\n3v33u1g/t7I7cTc9PutBYm5i5f5WrWRicNas6oM8X2zSBDdFYc7Zs3JDhVBy0SJVrYbG/z1a4KBx\n2TP25ElSSktZHBmJQaeDsWOl0dOqVdK/9xLw4LQPQVfG1y+7Jiq0Wks4ffpNgoMf5p13FnPTTTdx\n7733XvQ6iqxWvsnIkN4NNjjyryPovHS0/aSKM6Ya778va9tDhtTpfumF6aw4tIIXurxwUUOtAPLz\npZWGlnGoHYNBBliu6Bx6t+zNn6l/klGU4drF/fzgjjtUyxU3+fsT7MRFEqDxc40pPlpMztYcvLxa\nYDTGcPz48xQUHHDp1mPHjuXpO5+m9MNSMvMzufmTm9l/7sJDvvKK/JEdMeKCUNLo5saI8HDmJydz\nvMK86vnn5V/QiBEy+6BxWaEFDhqXNRsyM/koJYWZrVtzrbc3fP65fEm+/z7cdtslucfSr4s46DuH\nmOAnadfcNefzlJT5lJamcvRoDL///jtTp06t+cXuIuszMymwWnksNJTEaYnkbM0h6qso3Ew1dGlk\nZ0vXvREj6jzMa9G+RegVPU92qr/LZgUVk5ZdsebWcF0g2btlbwSCzQmbXb/4gAFyyJmdiEKvKPQN\nClJtywQI7BWIV1svUj6SbpDXX78KT8+WHDjQh+Lik7XeVlEUPvzwQ3pE9qB0XinB7sH0/LwnG09s\nBOQgz/nz5dKWLLlw3phmzQh1c6Pj3r3MSUrCptfLA/fu1YSSlyFa4KBx2ZJZXs7TR4/Sx2hkeHg4\n7NwJw4fDs8/Kl+SluEcmDF/4GXhn8tG/XnHpHIsllzNn3qFRo6eZOnUBvXr1onfv3pdkPUvS0rjJ\nz4+Qv8pJeDOBiFcjMN5Wi+Bi0SJZvqnj34nFZmHB3gUMaT+EIK/6j/2u37MLbAAAIABJREFUYNky\n+TJse3H6ygZDp04yZV+qbpVQSbOAZrQ1ta2bn0P//vKT+o+OZYZ+JhPxhYWcKSlx2KcoCuHPhZPx\nTQalqaUYDAF06PAjer0/f/11J6WljvbS9ri7u7N69WqCvYIpXVhK9ybduXfpvXz6hwwA7rxTVhpf\nfhlyzssgQt3d+atLF55t3JjRJ0/Sa/9+jnfqJP1ZJk5Unfqp8X+HFjhoXJYIIRhx7BglNhufRUai\npKTAAw9Aly4wb16d6/jOGDW6nIKOM7j/2kdpHdTKpXOSkmZisxWxf/+N7N+//5JlG7LKy9mQlcW/\nvII5/Nhh/Lv60+LNFjWfVF4OH3wgSxSN7J3ca+bbI9+SnJ/Mi11frP+iz5OfL2dqXYJO1AZDdLSM\n9w4dqv3YijHbLtO0Kdxwg2q5ok9QEAZFcZp1CPt3GAajgYP3HcRSYMHdPZSOHX9CiHIOHOhDeXnt\nttBBQUGsX78ec4oZy1cWno5+mmfWPcN/N/8XIQSzZ0t37KoTtX30et6/9lq2RkeTWlpKh717eW/c\nOKyennD77ZCa6vrza/yjaIGDxmXJsvR0VprNLGjThnCbTfZzublJo6eKgVYXyfffw5KDixH+ibwV\nM8Glc8rK0khKmk1Y2EimTJnD3XffTY8eFzfboYKvzWZsNsEtb+VTnlVO1NIodG61/IiuWgXJyXU2\nfAIpiuwZ0ZOOYR3rueILrF0LJSXw6KMXfakGQ/v2Mv6tTSAJslxxMvskCdkJtR9cwYABsGGDdOSq\ngr/BQK+AANZlqGsm3ILc6PBjB4qOFHHogUPYymx4ejanQ4efKC1NJT6+H1Zroeq5VWnTpg2rV69m\n6+atKBsUYnvHMuW3KQxdO5TgRmVMngwffug4UfvWwED+6tKF5xo35uW0NG79+muO+fjI0mRysuvP\nr/GPoQUOGpcdZ0tKeOH4cR4NDeWRkBAYNky2l337bZ0/VTsjNxeGzFmA0n84g9sNpn0j1xR9Z85M\nRadzZ/v2Vhw+fJgprozNdJElaWmM3uZN3soM2ixs43xkdgUVhk8xMXVWJManxbP1zNZLkm0AWabo\n3h0inDhhazji4yPLOq7oHG5rcRs6RVd3++ncXOnvYUf/4GA25+RQoOIiCeDXyY92a9uRszWHI/8+\ngrAJfHyi6NBhA4WF8Rw8+AA2W+1mv7fffjsLFixg4UcL8f7DmyUPLGFZ/DLuXXov/3oml/btpQ7S\nXv/oo9cz53z2IV2vp+OsWczu1QvrbbfVPh1M45/nUgy8+Ke/0IZcNRisNpu4c/9+Eb59u8gsKxNi\nxgw5EWjp0kt2j1JLqYh65TnBJMTQFSNFmaXMpfOKik6KLVvcxPHjU0WrVq3EwIEDL9maThcXi6aL\nN4tN3lvE4ScPu3bStm3y7+aHH+p8v2HfDRPhs8JdfvaayMiQg4zmzr3oSzU4Hn1UiO7dXTu266Ku\n4tFVj7p+cZtNiKZNhfjPfxx2nSgqEmzeLNakp9d4ifRV6WKzslkcG3lM2Gw2IYQQWVmbxJYt7uLg\nwUHCZrPUeH4FY8eOFTqdTqxfv15sTtgsAmIDRIcFHcSaTUkChFiwwPm5hRaLeOn4caFs3ixuWbRI\nHLnlFiESEly6r4bksh9ypaFxMXyYnMzP2dl8HhlJ0KZNMH68dJG7RMVzc6GZzh/EcNjzM4b4LeLz\nQR/gpndtrsTp02/i5hbMpk2BJCQkMHny5EuyJoDlief471TwaurJNR9c49pJs2dDVBQueWNXIbs4\nm6/iv2L4jcNdfvaaWLVKjhZ4+OGLvlSDo1MnaQLlymiGmJYxbDq1CZtwcY6DolwYemVn+NTay4so\nb2+nbZkVhDwYQpsFbUiem0ziO9KTwWi8g+uuW4HZvIpjx0aoDreyZ9q0afTr149HH30UU76J7U9t\nJ6ckhxf338z9ww8wcSKkp6uf663X89411/BbdDQZUVFET5rEzGnTsJ6svctD459BCxw0LhuOFhUx\n7tQp/l975x1eVZW18XenE0ICSaQXQcFCbw5S1NERRUeKjjjqiCIoIipFVBCQ0JugImD7BkVFdHAc\nBRsKnPSQhJCEQAKYAklIIb0nt5z3+2OHECDl3uTGQNi/57nPTc49e+11zz1nn3XWXnutWZ07Y2x2\ntpwwHzcOWLnSJvKjMqIw9KNhOJ55EoOjNXw+Z7rFbYuLjyIzcyc6dFiIlSvX4rHHHkN/GyYsKF6e\nil6JQL9dt8LBzaH+BgkJcupmzhyrs2Z+GvUpjGYjnh/6fAO1vZivvwbuucdms0jXFIMGAcXFNSZ5\nvIx7et2DrNIsxGTGWN7B+PEyucaxY5d99HcvL/yUkwO9nht/5xmdcf3y65G0OAlpn8hVFdddNxE3\n3fR/SE//GElJ9ad7t7e3x86dO3HjjTfi73//O7zpjZBpIWjfuj32dx8Dc4/9eP31umWMbtsWUSNG\n4MX27fH65MkYffAgTsTF1du3wvYow0FxRWDSdTwVF4euzs5Y5+0t00l37CgXezey9gMgiziN2j4K\n5XnecPw0HLs3jbLqfpuY+CZatboBP/1kRlpaGnx8fBqt03ki/ncW9+w0wfRWR7QZYmFlys2bAU9P\nWavDCnTq2Bq+FZP7TkYHt8bf6c+elWvy1WqKhjFokHy3JEByZLeRcHFwsS7O4a67ZGnKF18ESi8u\nlPV3Ly9kGo04XFRUr5gei3ug86zOOPXCKWR9lwUA6NRpKm64YSOSk9cgOfntemW4ublh7969MBqN\nmDhxIto5tIPfM34Y1X0kSieNw46oHfD3r1uGq709Ng4ahMAePZDbpg0GpaRgQ0REjSm0FU2HMhwU\nVwSrk5NxpKgIX/Tpg9ZTpsilV3v2AB4ejZKrU8db2luY/O1k3O45HlnrArBmQXfcUEuByZrIzw9A\nbu5P6NBhCVavXounn34aN9koWYEh04Ds5xIQeZvAXxf2tlQhmRRn5kyrEz79Gv8rEvMSbRYU+Z//\nyMUukybZRNw1R/v2QOfOlgVIuji4YEz3MdYty3R2ltdRZKScSzIaqz4a6e6Odg4OtS7LrI4QAr03\n98Z1j16H2CdikecrE0t16zYP3bu/icTE15Cevr1eOV27dsWePXsQHR2NZ599Fm5Obtjzzz14ZvAz\nwKRn8I/3V8BgqN8IGHnDDYi64w685O+PNwoKMCo4GHEl9a/0UNgIWwRKNPULKjiyRRNeUEB7TeOS\nxERywQLSzo785ZdGyy0sL+SEXRMofASXHVzN3n10jhhBmiyL5yJJ6rrOiIhRDA8fzHXr1tHR0ZFJ\nNgrM0s06o+6P4vftNM4JirW84YYNpJMTmZ5udZ/3f3k/h308rCrQrbEMH05OmGATUdcsDz9M9uxJ\nFhTUv+/agLV0XeXKClOFdZ389hvp6Eg+/jhpNldtfuL4cQ4OD7dYjLnczKi/RdHf3Z+FkYUk5TVy\n4sQMapodz537r0Vydu/eTQBcunRplYxZX68kfMDbVk6zPGg3M5NB48ezz86ddNY0rjtzhsZq308h\nsXVwZLMbBRYpqQyHFkupycSbQ0M5JDychq++kqfkhg2NlhufE8++W/uyzeo23HtyL994Q95rY624\nP5NkVtZeahqYlPRfenl5cebMmY3W7TzJG5OpQePwdRoD8/Mta2Q0kt26kU8/bXV/p7JPET7gZ5Gf\nWd22JuLj5c/19dc2EXfNkpBAurvLe3p99lx0RjThA877dZ71xt/u3dIof/HFqo52ZWQQmsaUsjKL\nxRgLjTw87DADOwSyNL6UJKnrJh479hh9fZ2Ym7vfIjmrVq0iAO7cubNq29jXPieWOPDOT+5jYXmh\nZQplZbF02DDOnzuXdprG2w4f5vHiYou/z7WAMhwULYrZp07R2deXx8PCyFatyH/9q/7Rsx72J+yn\n5zpP3rj5Rh4/d5xhYXK8XL3aOjm6bmJYWD9GRt5FHx8fOjs7MzU1tVG6nacwopC+jr784Jkw9ggO\nptnS7/z11/KyjYqyus/Zv8ym93pvlhktv0nUxcqVZOvWZEmJTcRd05z/Wf/97/r33XxoM+EDzt83\n33rj4ZNPZEdLlpAkcw0G2msaPzx71ioxFecqeKjPIYb0CmF5ejlJ0myuYHT0/fTza82CgtB6Zei6\nzilTptDZ2ZnBwcEkpdfFc9h+Oixx56APB/FsoYV65eSQQ4YweMQI3uTnRydfX645fVp5HypRhoOi\nxbA/N5fQNL4TGyvXmw8bRpaWNlieruvcfGgz7ZfZc+wXY5lbmsuKCrJfP3LIENJgZcqC9PQvKr0N\nv9Ld3Z1z585tsG7VMRYZeaj3IYYNCed1B/y5MCHBsoa6LucG7rnH6j6LKorovsadC/cvtLptbfTt\nSz7xhM3EXfNMny5tZ0u8Yu8deo/wAV/77TXrjYd16+TQ/847JMk7jxzhg9HRVutbmlTKoM5BDB8U\nTmO+kSRpMhUzImIkAwI8WVx8vF4Z5eXlHD16NNu3b181BbhrF4n2R+m9uiu7berGY5nHLFMoN5cc\nPpyl7dvz9cBA2mkahx8+zGPK+6AMB0XLIM9gYNfgYP41IoLm0aPJDh3IlJQGyys3lnPaD9Oq3LhG\nsxzIli6VyYmsfUA3mysYEnI9Y2ImcuHChXR1dWVmZmaD9atO3NQ4+rX2455DqYSmWT6wBQbKS/bH\nH63u84PwD2i3zI5n8s9Y3bYmjh6VquzdaxNxCkrPzS23kP37W2Y/nzceXv/tdeuNhzfekD/gjh18\nOzmZLn5+LLEm+KeSopgiBrQN4JE7j9BUJtsbDLkMC+vPoKAuLCs7Xa+MrKws9urVi/369WNBQQF1\nXdrG3fumsv/WAfRY48GDiQctUyg/n7z9dtLDg4eCg3lzaCidfH25+hr3PijDQdEieCo2lu7+/jwz\ne7YMPqh0VTaE9KJ0jvz3SDqtcLpo/j46WhoNlV5Zq0hJ2cxduwSnTn2UDg4OXLjQNk/qGbsyqEHj\n8Y+S2S8sjIOsCEzjI4+QN910UXCbJei6zr5b+/Lhbx62UtvaWbiQbNeOrLAyRk9RN0ePki4upKWh\nNO+GvEv4gG/8/oZ1xoOuk889R9rb88SePYSmcW9WVoN0zg/Mp5+LH2MejqFukjqUl6cxJKQXDx3q\nzYqKjHplxMbG0sPDg+PGjaPRaOSJEzKWc8HSAt77+b10XO7InUd31iuHJFlYSI4eTbZpw7KAAL4R\nH087TeOww4cZU1TUoO94taMMB8VVTUxRESfGxBCaxh1LltDiid1aOHz2MLtu6sqOb3dkSEpI1Xaj\nkRw6VLrTy8utk5mQcJwTJrjQ0dGO3t7eXL9+PStscIcsTSylv7s/g/4Rza5BQewWHGy5tyExUQZq\n1JWbtxYOJh4kfGD5U1s96LpcBTB9uk3EKS7hww/lZfHtt5bt/07IO4QPuOD3BdYZDyYT+eijpLMz\nb9I09j50iL9kZzdI56y9WdTsNZ54/kSVDqWlCQwK6sTw8EE0GusP/t23bx/t7e35SmWK7EWLSGdn\n8vgJA5/5/hnCB1ztv9qy71hURN55pwzC8fNjaEEBb6n0Pqy6Br0PynBQXJXEl5byX7GxFJrGnvv2\n8YsJE6h7e5NffNFgmV8d/YouK104/OPhTC24OGhx7Vp5nw2tP0ariuTkZL7wwgt0dLSnhwe4cuUC\nFtnoCcVsMDNiRAQPdg9ix5/9OCg8nGetsWjmzCE9PRsUiTjp60nsu7WvzZZgHjokR44DB2wiTnEJ\nuk7+4x+kh4flJRk2BW8ifMCF+xda9zuXl5P33stjt97KO/z8CE3juOhoxjUgLiDt0zRq0Ji4OLFq\nW1HRUQYEtOWRI2NoMtV/7m7bto0AuHXrVpaUkNdfT953H2k261yqLSV8wBl7Z1RNRdZJcTF5992k\nqyt58CDLTCYuSEignaZxaHg4j15D3gdlOCiuKlLLyznjxAk6+Pqyk58ft82dywoHB3LqVFkdqQGY\nzCYu+H0B4QP+67t/sdRw8YRwXJx8UnntNcvkpaSkcObMmXR0dKSXlydnzHBiVNSsBulWGwmLEnjQ\nXmP/rRrvi4piodGCge88+fmkm5t8BLOSM/lnaLfMjh+EW++pqI3Zs8mOHa3Lh6Gwjrw8skcPOV1v\naVDvxuCNhA/45v43rTMeiorIESOoe3vzv5GR7BkSQntN4yunTslCc1ZwZv0ZatCYsvlCvFJ+fjD9\n/FwZHf0gzeb65c2ePZv29vbct28f9+6Vd6ndu+Vn249sp8NyBz6w8wEWVVhw4y8tJceOlVGnv/9O\nkgwrKOCtoaF09PXliqQkGq4B74MyHBRXBVkVFXz1jz/o4udHz4AArv/4Y5a4uZF9+pCa1mC5+WX5\nfHDng7RbZscNQRsuGyBNJjnY9u5df4BZSkoKZ82aRScnJ3p6enLNmjWMjHyJ/v5tWFFRd9VAa8g9\nmMuDQuOT0zROi4uzfqDauFFO+KalWd33wv0L6b7G3bJB1gJMJmk01FBwUWFjQkJIe3sZT2Ipbwe9\nTfiAiw4sss54yMmRy4+6dmVZUhLXnjnDNv7+bBcQwM0pKVads3+8+gc1oTFj14XYhpycX+nr68jj\nx5+krtcty2Qy8YEHHqC7uzuPHz/OiRPJLl1k6AJJ7ovfR7fVbhz60VCmF1mQBK2sjBw3Tj5NVCaW\nKzeb+WZCAu01jUPCwxndwr0PynBQXNHkG418KzGRbv7+dPP359IDB5jfv78MgFy61PqAg2qcyj7F\nm7fcTI81Hvzlj8szSwYHkw8+SAohK07XRmpqKl966aUqg2HVqlUsLCxkWdkZ+vo6MylpWYN1vJSS\nc+X8sYMfNw3SuCI+0frpAqOR7N6dnDLF6r7LjGX0Xu/N2b/MtrptbRw8KEeNkJD691U0nrVr5fn8\n22+Wt9kQtIHwARcfWGzd+Xb2rAxe6dOHzMxkenk5p584QaFpvDk0lD9b6CHUzTpjp8TS19GXOfty\nqrZnZn5DTRM8derlevUqKChgv3792LNnT0ZEZNPVlZw378LnkemR7LyxMzu93YmbD22+zOt4GeXl\n5EMPyXGo2qqk8IIC9q30Pixvwd4HZTgorkhKTCauP3OGngEBdPHz46tHjzJr+nR5it15p5w/aAT7\n4vex7dq2vOn9m3gi60TVdrOZ3LNHBlEDctHBrl01yzh79ixffvllOjs7s127dly5ciULquX5jYt7\nloGB19FotDBjXT3kGwz86K5A/uCucWdEcsOEfPON/GKRkVY3/SzyM8IHPJV9qmF918Bzz8l7i43C\nJRT1YDaT994rVytn1L84oYr1gesJH3DJwSXWGQ/x8dKlNGRIVQ7syMJC3nnkSFX8Q6wF8Q9mg5nR\nD0bTr7UfC0IvXGNnz35ETQMTE5fWK+P06dNs3749R40axZUrjbS3lyulzpNSkMKnvnuK9svs2WFD\nB64PXF93tsmKCnLiROm9+/77qs3lZjMXVXofBoeHM6oFeh+U4aC4oqgwm7k1NZWdgoLo4OvLF06c\nYOqOHTKQr107uWKiEXcZXde5MXgj7ZbZcdyX45hfJqOzy8vJ7dvluneAHDlSjgU1PTCkpaXxlVde\nobOzM9u2bcsVK1ZcZDCQZHFxLDXNjikp7zVY1+qklpfzxdeDqEHj/i+TGi5oxAjyr3+1upmu6xz6\n0VDe/+X9De/7Eioq5E9qo5WpCgvJyJCGw9ix1q3EXRe4jvAB3zr4lnUdRkeTbdtKg7/0fEppnd+d\nO8delfEPL586xex64h9MJSZGjIxggFcAS05cCIw8fXo1NQ0WXWshISF0dnbmE088w1tu0Tly5OXH\nID4nns/teY6Oyx3puc6Ty32XM68sr2aBBoOMPHVwuGzZyuHCQvYLC6ODry+XtTDvgzIcFFcEJl3n\njvR0Xh8SQqFp/FdsLOOPHZODDSBTRzcyYVKZsYxT/jelKsmNyWxifr5MfNe5s+xmwgSZF6km0tLS\nOHv2bLq4uLBt27Zcvnw582upCRETM4nBwT1oNjd8KuU8R4uKOOKLQO5z0hgy3cKsdzURHCy/5J49\nVjcNSQkhfMCfTv3U8P4v4Xyg2tGjNhOpsJDffpPHfu1a69qtDVhL+IBLtaXWNQwKkgGFDz10UXRm\nudnMddXiH96rJ/7BkGNgaN9QBncPZnmqvLZ0XWd8/HxqGpieXv+qql27dhEAp037goB8YKiJ5Pxk\nvvzzy3RZ6cI2q9tw4f6FPFdcQ6yS0Uj+858ygOSbby76qNxs5uLERNprGgeFhzOy0Dbex+ZGGQ6K\nZkXXdX577hxvCQ0lNI2TYmIYk5tL+vjI+cMbbrBuQrYWzhae5V8++QtdVrrwy+gvmZoqV0m0aSO7\nmTat9tS86enpnDNnDl1cXOjh4cFly5bVajCQZEHBocpBbEej9T6Qm0vv3/34VS9fBt16iKbSRiw9\nePRRGeXZgCefJ//7JHu914vmegLRrOGJJ8hbb1XTFM3FggXyXmdtrrQ1AWsIH9BH87Gu4S+/SLf+\nU09ddg5mVFTwOQvjH8pSyhjcLZihfUNpyJFGiK7rjIt7lppmz6ys+g1jHx8fAuCYMafp5VX3gqz0\nonS+9ttrbL2qNV1XuXLur3Mvr3lhNMqHGzs7cufliaUiCgvZv9L7sDQxkRVXufdBGQ6KZkHXdf6a\nk8Oh4eGEpvHeqCiGFRSQvr4ysMDBgXzzzUbVmjjPoZRD7PR2J3bZ2IXfBIRz6lQ5frm7y0y5tdXj\nycjI4Lx589iqVSt6eHjQx8eHeXm1uCyrfa/IyLsYFtaPut649YWfp6fT0deXb08Opq+LH4tiGjFX\nmpQkB7Vt26xuml6UTsfljtwYvLHh/V9CSYnMpbNihc1EKqzEYJAzVz16yOWa1rDafzXhAy7ztTLw\n9+uvZXTmK6/UaDFGFhbyrshIQtN4f3R0rVUpi+OKGeAVwIiRETSVyOvMbDYyJmYS/fxcmJfnV6ca\nuq7z8ccfp7NzD7q5Gfn88/Wrnl2SzSUHl9BjjQedVjhx5o8zmZSXdGEHk4l85hl5ne24/KGhwmzm\nW4mJdPD15cCwsKva+6AMB8WfTkBeHu+oDI4aGRFBLTdXLt969llWBRgca4RLvho7onbQeYUz+24a\nwXsnpRGQ0xIbNlTFal1GRkYGX331VbZq1Yru7u5cunRpvQbDeXJy9lHTYNFTT23ous4VSUmEpnHp\n+5HUoDF1ayOraM6dKwMKGpCIZ7nvcrqucmVuaW7jdKjG+RjNP/6wmUhFA0hKkomhHnnEes/PKv9V\nhA+43He5dQ3Pp7JcVrPRYWn8Q0FoAf1a+zH6wWiaDfIJ3mQqY2Tk3fT3d2dh4ZE61SgrK+OIESPY\nps0CCqFbvLInvyyfq/xX0Xu9Nx2WO3Dq91N5Mvuk/NBslilQhag1g+2RwkIOqPQ+vHWVeh+U4aD4\n04goLOS46GhC0zgwLIw/ZmdTN5tltsfrrpMj2IcfNsiVfilGs5Hzfn2V8AGvmz6VsC/nrbeSn35a\nez2EzMxMzp8/n61atWKbNm24ZMkS5uZafrPUdTPDw4cwImJkg7MqGsxmTouN5Q2faNz+eiQDPAN4\ndMLRxmVpLCiQczINiEI0mAzsvLEzn99jwSOZFUycKAtzKpqf3bvlyP3hh9a3Xem3kvABV/hZ6Tpa\ntUp2unlzrbuUm81cX0/8Q86+HPo6+jJ2Six1s7xGjMZCHj48nIGB17Gk5GSdamRkZLB7955s1eo4\nBw400Zo8asUVxdwUvImd3u5Eu2V2/Oe3/+TRjKNy/Jo5U36/jz6qsW2F2cylld6HAWFhPHKVeR+U\n4aBocuKKi/nosWOEprHPoUP8JjOTZl2Xj5t/+5s8bR57jEy3IPmKBaTl5bLvmvuIt+yIv7zLMXfo\n3Lu3dnvk3LlzfO211+jq6so2bdpw8eLFzMnJqXnnOpDrysG8PH+r2xryDDyzK53vTQjit14aNWj0\na+3HmEdiaMi2sn73pWzaJKd+Uq33Wnxz7BvCB3JAtBF5eTKuZNMmm4lUNJK5c2sPEqyPFX4rCB9w\npd9KyxvpOvnqq/La//LLOnfNqKjg85XxDzcdOsSfLglIyPhKFnqLnx9ftc1gyGZo6C0MDu7OsrK6\nly7HxMTQ1fUuAma++671Dy1lxjJuC9vGHu/0IHzAiV9PZHhqGPnyy/L7bdlSa9vIwkIODAujvabR\nx9J84FcAynBQNBlJpaV8Ji6OdprGbsHB/HdamiwGU1EhnzhcXOQE688/26S/3Fxyzqo42s/pTbzR\njqOn/F6n+1HX9aoS125ubly0aFGDDAajsYCZmd8wJOR6Rkc/YFEb3ayzMKKQp1ed5pHRR6jZS2Ph\ns54aD8w6xtz9uTSX28iFuWWLzOvcAMZsH8M7P73TNnpU8umn0pPbADtGcYWy3He59SstdF2mire3\nt6ieelRRUa3xDynvpVCDxjPrL5R5LytLYXBwd4aG3syKirordf70008EPqCTUyk3bJABo9bmljOY\nDPw08lP23tyb8AHv/+I+pk57TN4W33231nYVZjOXJSVxcWJirftcaSjDQWFz0svL+dKpU3T09WX7\nwEBuTklh+fnH/cBAWWLS3l4ua2jAnPulJCfLLHAu/X8iFriz3aJb+dthyybPZ8yYwTfffJPZVta5\nKCtLYWrqVkZFjaWvryM1DQwPH8ySkhO1tjHkGJj5dSZjn45lYIdAatDo7+bPoL9H8qnXAzjwu6Ar\nqlBOVHoU4QPuPr7bpnLHjpWrbBUKGo3kpEnyIeLzz+stWKLrOv937hxvqIx/eKla/EPCogTGvx5/\n0f4lJScZGHgdDx8eVm8itjVrPmTXrtFs1UonIDNKjx4tA6j37LG8FI7JbOKumF3st60fsRT86oFu\nJEB9wwbLBFwFKMNBYTNyDAa+ER/PVn5+bBsQwNWnT7P4/ECQl0fOmCFPkdtuI6OiGt3f0aMyc7K9\ng06Xv60llgqO/fQhFpTXEvXYCHRdZ1FRNJOSljM8fCg1DfT1dWAAcQrRAAARjUlEQVRk5D1MSdnM\nsrLTl7cx6ywIL2DS8iRG3B5BzU56FcL6hzH+9Xjmark8kJFNd39/DggLY2oj0mc3BdN/mM6um7pa\nVjnQQjIzpc3YkPl0RQulrEwmUQJkeurPPmN9wQblZjM3nDlDd39/tq2sf1FbHFBh4RH6+7szMvJu\nmkxltcrUdZ26rtNgIMPCyHfekWp16iRVO59J9tlnZdzjiRN1B5SadTP/F/c/Dv1wCFeOkQJiX51i\ns6qyzYkyHBSNptBo5IqkJLr7+7O1nx8XJSQw73wUtK7LJVgdOsgAvfffb1QZRF2XNa3GjZNnW9eu\n5NsbzZyw8xEuOrDIpnkGzGYjc3MP8tSp2QwJuZ6aBvr7t+GxY5OZkbGTBsPlgZMVWRXM2JnB2Kdi\nGdi+0qvg7s+Yh2N49pOzLEu5MHCdX245NiqKBdZEZf0J5JTmsNXKVtbNW1vAli0y3KKBhUwVLZnw\ncJmBDZB5yD/5pPZI5koyK+Mfnq0nBX1enj/9/FwYEzORZisNYV2Xq0++/FLGPA4YIKfaANLbmxw/\nXiaRCwyUNtDl7XX+cupn/nu89Dxsfagjdx/fbdOx6s9GGQ6KBlNmMnFTcjK9AwPp5OvL2adOMaP6\nhZ6YeOEO//DDjZrUNplk9Pfw4VJc//7Ss3nePjGZbVOT2WgsZGbmf3j8+JMMCGhHTQODgrrw5MmZ\nzMn59bJMkLpJZ0FoAZN8knj4L4epiUqvwsAwJixIYJ5fXtVSsao2us6Vp08TmsapDalu2YSYzCZG\nZ0Tz+T3P02mFEzOLG5et81JGjSIfsCwMRHGtEhUlH/WFkAXZtm2rN+DAbMFTfFbWXmqaPePipjb6\nqT8/n/z1V3LJEvLuu2VOEkAG/Y4cKWdhv/+ePFct0aSu60ycJ5ec+9wJ3vL+zfwi+gubevT+LJTh\noLAag9nMj8+eZdfgYNprGqefOMEz1U1tg4Fcv16mmO3alfzhhwb3VVpKfvCBTCAJyDILv/xi22yD\n5eVnmZr6AaOj76evrxM1DQwLG8DExCUsLDxc4yCT9UMWjz9xnIHelV4FD38ee/QY07ansfxs7YOc\nwWzm9BMnCE3jsqSkZndblhnL6H/an6v9V3Pcl+PoscaD8AEdljtw8YHFNu3rzBn5G37+uU3FKloq\nx46Rjz8uDYjOncn33mt0QriMjC+paWBc3FTm5PzGigrbGMZGI3n4sFRx8mRZtvv89Ebv3jIv1Cef\nyOy0+uo1JMBvJtxILAV7vdeLn0R8wgpT3d6VKwlbGw6C8sZ8RSOEGAIgIiIiAkOGDGluda4adBJf\nnzuHt5KSkFBejn+2b49l11+PPq6uF3YKCwOefx6IiQFeeQVYvhxo08bqvnJzgW3bgM2bgZwc4JFH\ngNdeA4YPb/z3IImSkuPIyfkB2dk/oKgoHIA92ra9A97eE+DlNR6tWvWsU8bJGSdRFF4Ez3Ge8Bzn\nCfcR7rBzsKuzTZHJhMmxsdifl4f/u+kmPN2xY+O/jJXkl+cjKDkIgcmBCEgOQHhaOAxmA9yc3DCy\n20iM6T4Go7uPxm1dboOro2v9Aq1gwwbgrbeAc+cadEoorlVOngRWrwZ27gS8veVA8MILQOvWDRJ3\n9uyHSEiYD10vAQA4OXWCm9tAuLkNQuvWA+HmNhCurn0ghH2DVSaB5GQgKOjCKyYG0HXA0xNY32Ej\npsXNx9FHpsDnkRJ8f+o7dHHvgjdGvYFpg6ehlWOrBvf9Z3DkyBEMHToUAIaSPNJYecpwaIGQxN6c\nHCxOSkJMSQke8vLCip49MdDN7cJOhYXAokXA1q3A4MHAxx8D8sSqYteuXXj88cfr7Cs5Gdi0Cfi/\n/wPMZmDqVGDePODGGxv3HXTdhMLCIGRnS2OhvDwR9vZu8PS8H15eE+Dl9QAcHT0tlkczIeyFxfun\nVVTgwZgYJJSV4bu+ffE3T8v7agxb/r0FXrd5ISA5AIHJgTh27hgIokPrDhjTY0yVoTCgwwA42Dk0\niQ4kcOIEMHkycPPNwO7dTdLNFYMl57miASQkAGvWADt2AG3byoFh1izA3d3qY06aUVaWgOLi6MpX\nFEpKolFRkQoAsLNrhdat+11iUAyAg4N7g9UvLARCQy8YEoP938N6wxy8ZzcH2++aDuPta3HS8St4\ntboOr416FTOHz4Sbk1v9gpuBFmU4CCFmAZgPoCOAaAAvkwyvYT9lOFjIgbw8vJmYiLCiItzVti1W\n9+yJ2z08LuxAAv/7H/Dyy0BBAbBihfzb4fKb0Pjx47Fnz546+/vvf6XD4qWX5JjQvn3DdTeZipGX\ntw/Z2XuQk/MjTKZcODl1gpfXeHh7T0C7dnfDzs654R1YyPGSEow7ehQ6iZ8HDMAAt6YbDHJKc/Bt\n7LdVhsKZD84ATwB9vPpgdLfRGNNDGgo3tLsBQlhu+FiDyQRERwP+/kBAgHxlZwOOjsC+fcBf/9ok\n3V4xWHKeKxrBmTPA2rXA9u3S6zBnDsaHhGDPL780WrTRmFPNmJAGRWlpLEgjAMDFpVeVMeHmNhCt\nWw+Ei0uPBl1LJhOQvmQbuq2dhX29X8JzZZuRUpIIjF4HMeArPJwWh7EjuuEf/5BeiisJWxsOTfPI\nYgFCiMcAbATwPIAwAHMB7BNC9CGZ3Vx6NTdmEgZdh6GO9wpdv2xbqdmMTzMycDA/H7e1aYPfBwzA\nPe3aXXyBpKTIO/yePcBDDwFbtgDduzdK34kTgfvvb7AXEhUV6cjJ2Yvs7B+Ql3cAZAVcXfuic+cX\n4O09AW3aDIMQdU8pNAaDriPHaESO0YhsoxGJ5eWYFx+PHi4u+Kl/f3R1cWmyvgEguzQbs36ehcGd\nBmPSzZMQ2CUQP776Izq4dWiyPsvLgfDwC4ZCUBBQXAw4OwMjRkiv8h13ALffDjShzaS4VujRA/jg\nA+nh3LBBeiFMJmDJEmDOHMDLq8GiHR290K7d3WjX7u6qbbpuQGnpCRQXR1UZFKmpm2Ey5QAAHBza\nonXrAVXGhJzq6At7+7qvdQcHoNuaF4GeDrhvxgwkv2BCyoKtCAr5GFrw2wiPcsfMHcC99155hoOt\naTaPgxDiEIBQkrMr/xcAUgBsJrn+kn3/dI9DpsGAoIKCi2/WFtzUDbpu1b6XytYboXO/1q2xsmdP\njPfyuthgMJuB998HFi8G3N3l3w8/DNRjdTfVk1hp6UlkZX1XGa8QCsAOHh5j4O09Ad7e49Gq1Q0N\nkltuNiPbaESOySTfK42By95Npqq/i8zmy+Tc164d/tO3L9xr8MLYGpIoNhSjjbMMImiKY242A/v3\nXzAUQkMBg0GeCqNGAWPGSENh2DBpPFxrKI/Dn0xGBsaPGoU9GRmAnZ10Vc6b1zh3ZT2QhMGQdpEx\nUVwchbKyPyBjBu3h6nrzRd4JN7eBcHKqxYDfvh2YORMICQGq3ZOKiqSx3UTOwQbTIjwOQghHAEMB\nrD6/jSSFEPsB3N4cOl3K0eJiPHL8+EXbHIWAkxBwtrODk50dnISo993D3h7OFux3/t0a2U52dlWy\nHYWAm719zS64iAjg1Vflib5qFVB96qIZSE19HxkZn8HT8z506bIDXl4PwtGx9qeO/bm5yLrkxl+T\nQVCqX2522QPwdnSEl6Nj1Xt3F5cL/zs4XPZ5OweHJpsWuBQhRJXR0HR9AE88IZ+YxoyRD31jxgAD\nBgD2DY8nUygaRseOQN++wKFDMkBqyxYZVT1zJjB/PtCpk827FELA2bkLnJ27wMvrwartZnMJSkqO\nXWRQZGf/UC0Qs2NVAKab2yB4eIyCi0t34NlngbFjga5dL+rnWgkibq6pCm/IMT3zku2ZAG6qYX8X\nAIiLi2titS7grus46OoKRwCOdnZwEMKym8n5VT013MRsAQFUVL4sxsEB+P57oEsXGbBkIQUFBThy\npNHG6WUYjZPQqtWTMBickZYGpKWdAXCm1v0fiYxEodkMByHQ1sEBbR0c4FH53tPeHoMr/66+/fz7\nRcYUKR+1DYYa+ymqfJ229Re2gqY65l99JQPcqx+K6Gibd3NV0lTHXFE7BQUFOJKSAjz6qPTt79ol\nA7QTE+UUxp+KI4DhlS+gdWsd5eVnUV5+Cjk5J5GScgplZZ/DYFiPLl1eQqdOUy80PXfuT9a1YVS7\nd9pk7rVZpiqEEJ0AnAVwO8nQatvXAbiD5O2X7P8EgJ1/rpYKhUKhULQoniT5VWOFNJfHIRuAGcCl\nE0gdAGTUsP8+AE9CPgyWN6lmCoVCoVC0LFwAXA95L200V1pwZDJkcOSGZlFKoVAoFApFnTTbckwA\nmwB8JoSIwIXlmK4APmtGnRQKhUKhUNRBsxkOJP8jhPAGsBxyiiIKwH0ks5pLJ4VCoVAoFHVzVaSc\nVigUCoVCcWXQdCn5FAqFQqFQtDiU4aBQKBQKhcJirnjDQQjxphAiSAhRIoTIrWUf/ZKXWQgx+c/W\ntaVg4THvJoT4qXKfDCHEetGURSWuMYQQp2s4p19vbr1aGkKIWUKIJCFEmRDikBDCBoXgFTUhhFha\nw1gd29x6tSSEEGOEEHuEEGcrj+/4GvZZLoRIE0KUCiF+F0JYXcv4ahjoHQH8B8AH9ez3NGSQZUcA\nnQB838R6tWTqPOaVBsLPkMG1IyCP/TOQga4K20AAi3HxOf1+s2rUwqhWaG8pgMGQFXr3VQZtK5qG\nY7hwTncEMLp51WlxtIZcaPAi5BhyEUKINwC8BFlc8jYAJZDnvJM1nTTnckyLILkMAIQQT9eza4Fa\nkWEbLDjm9wG4GcBfKyuZxgghlgBYK4TwIWn6k1Rt6RSrc7pJmQvgI5KfA4AQ4gUADwJ4FsD6uhoq\nGoxJndNNB8lfAfwKVOVGupTZAFaQ/LFynymQpR4mQj4sWsTV4HGwlK1CiCwhRKgQYmr9uysawQgA\nMZeUP98HwANA3+ZRqUWyQAiRLYQ4IoSYL4RQJalsRLVCewfOb6NcYnbFFNprofSudKMnCCG+FEJ0\na26FrhWEED0hvTzVz/lCAKGw8py/4j0OFrIEwEEApQDGAtgmhGhNckvzqtVi6YiaC5Sd/0yVT2o8\n7wE4AiAXwEgAayGP7fzmVKoFYW2hPUXjOQQ5pXkScurNB4C/EKIfyZJm1OtaoSPk9EVN53xHawQ1\nV1ntNQDeqGMXAriF5ClL5JFcVe3faCFEawCvAVCGQyW2PuYK67HmNyD5brXtx4QQBgAfCSEWkjQ2\nqaIKRRNAsnqdhGNCiDDIsriTAXzaPFopGkJzeRzeRv0nSmIj5IcBWCKEcFSDbBW2POYZOF+D9gId\nqn2mqJnG/AZhkNfr9QD+sKFO1yrWFtpT2BiSBUKIUwCsjupXNIgMAALyHK/udegAINIaQc1iOJDM\nAZDThF0MBpCnjIYL2PiYhwB4UwjhXS3OYSyAAgBqeVUtNPI3GAxAB3DOdhpdu5A0VtbJuQfAHqAq\nmOweAJubU7drBSGEG6TR8Hlz63ItQDJJCJEBeY4fBQAhhDuAvwDYao2sKz7GoTJ4xhNADwD2QoiB\nlR/FkywRQvwd0mI6BFlyeyyAhVBR0Q2mvmMO4DdIA+GLyuU9nQCsALBFGWuNRwgxAvJi1gAUQcY4\nbALwBcmC5tSthaEK7f2JCCE2ANgLOT3RBcAyAEYAu5pTr5ZE5TT9jZCeBQDoVTl+55JMAfAugMVC\niHgApyHH7VQAP1jVEckr+gXp2jXX8Lqj8vP7IIPICgAUVv49vbn1vppf9R3zyn26AfgRQDGk22sd\nALvm1r0lvCC9CyGQgZElkGvfXwfg2Ny6tbQX5Hr30wDKKo/5sObWqaW+IA2E1MpjnQzgKwA9m1uv\nlvQCcCekZ/LSsXt7tX18AKRBLibYB+BGa/tRRa4UCoVCoVBYTEvK46BQKBQKhaKJUYaDQqFQKBQK\ni1GGg0KhUCgUCotRhoNCoVAoFAqLUYaDQqFQKBQKi1GGg0KhUCgUCotRhoNCoVAoFAqLUYaDQqFQ\nKBQKi1GGg0KhUCgUCotRhoNCoVAoFAqLUYaDQqFQKBQKi/l/AwILXCabRFkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x15cbcab00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(inputs)):\n",
    "  y, bins = np.histogram(bayesian_monte_carlo_wrong[:,0,0,i])\n",
    "  plt.plot(bins[:-1], y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 791,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAg4AAAFkCAYAAABIPLOYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDpIkqZvBQZIkdTM4SJKkbgYHSZLU7Rfd77u2io/bmQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x16284fc18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "elu_loss_wrong = K.eval(K.elu(K.variable(bayesian_monte_carlo_wrong)))\n",
    "for i in range(len(inputs)):\n",
    "  y, bins = np.histogram(elu_loss_wrong[:,0,0,i])\n",
    "  plt.plot(bins[:-1], y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 792,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean 0.178115 variance 1\n",
      "mean 0.231776 variance 2\n",
      "mean 0.392241 variance 3\n",
      "mean 0.489651 variance 4\n",
      "mean 0.591501 variance 5\n",
      "mean 0.614974 variance 6\n",
      "mean 0.707893 variance 7\n",
      "mean 0.733919 variance 8\n",
      "mean 0.794722 variance 9\n",
      "mean 0.86684 variance 10\n"
     ]
    }
   ],
   "source": [
    "for i in range(elu_loss_wrong.shape[-1]-1):\n",
    "  print(\"mean\", np.mean(elu_loss_wrong[:,0,0,i]), \"variance\", i+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 793,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgkAAAFkCAYAAACq4KjhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrv8H3cqrY/2P4SYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x166cadac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.mean(elu_loss_wrong[:,0,0], axis=0))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 761,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "inputs = np.array([[10.0, 0.0, i] for i in range(1, 6)])\n",
    "true = np.dstack([np.ones(len(inputs)), np.zeros(len(inputs))])\n",
    "bayesian_monte_carlo_right = K.eval(bayesian_categorical_crossentropy_monte_carlo(1000, 2)(K.variable(true), K.variable(inputs)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 762,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiEAAAFkCAYAAAD2auvFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nH1n05rIik9DGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x172323518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(inputs)):\n",
    "  y, bins = np.histogram(bayesian_monte_carlo_right[:,0,0,i])\n",
    "  plt.plot(bins[:-1], y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 763,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiEAAAFkCAYAAAD2auvFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wCxQsRSznUFiQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x172320198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "elu_loss_right = K.eval(K.elu(K.variable(bayesian_monte_carlo_right)))\n",
    "for i in range(len(inputs)):\n",
    "  y, bins = np.histogram(elu_loss_right[:,0,0,i])\n",
    "  plt.plot(bins[:-1], y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 770,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean -3.00885e-05 variance 1\n",
      "mean -7.02616e-05 variance 2\n",
      "mean -0.000166848 variance 3\n",
      "mean -0.000303218 variance 4\n",
      "mean -0.00039563 variance 5\n"
     ]
    }
   ],
   "source": [
    "for i in range(elu_loss_right.shape[-1]):\n",
    "  print(\"mean\", np.mean(elu_loss_right[:,0,0,i]), \"variance\", i+1)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
